Catalònica: Agregador de continguts digitals de Catalunya

Està a:  › Dades de registre

$\omega_1$-strongly compact cardinals and normality

Identificadors del recurs

0166-8641

http://hdl.handle.net/2445/214429

744329

Procedència

(Dipòsit Digital de la Universitat de Barcelona)

Fitxa

Títol:: $\omega_1$-strongly compact cardinals and normality
Matèria:: Espais topològics; Topologia; Teoria de conjunts; Nombres cardinals; Topological spaces; Topology; Set theory; Cardinal numbers
Descripció:: We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss.
Font:: Articles publicats en revistes (Matemàtiques i Informàtica)
Idioma:: English
Relació:: Reproducció del document publicat a: https://doi.org/10.1016/j.topol.2022.108276; Topology and its Applications, 2023, vol. 323; https://doi.org/10.1016/j.topol.2022.108276
Autor/Productor:: Bagaria, Joan; da Silva, Samuel G.
Editor:: Elsevier B.V.
Drets:: cc-by-nc-nd (c) Joan Bagaria et al., 2023; http://creativecommons.org/licenses/by-nc-nd/3.0/es/; info:eu-repo/semantics/openAccess
Data:: 2024-07-08T11:23:53Z; 2023-01-01; 2024-07-08T11:23:59Z
Tipus de recurs:: info:eu-repo/semantics/article; info:eu-repo/semantics/publishedVersion
Format:: 23 p.; application/pdf

oai_dc

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< oai_dc:dc schemaLocation =" http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd " >
1. < dc:title > $\omega_1$-strongly compact cardinals and normality </ dc:title >
2. < dc:creator > Bagaria, Joan </ dc:creator >
3. < dc:creator > da Silva, Samuel G. </ dc:creator >
4. < dc:subject > Espais topològics </ dc:subject >
5. < dc:subject > Topologia </ dc:subject >
6. < dc:subject > Teoria de conjunts </ dc:subject >
7. < dc:subject > Nombres cardinals </ dc:subject >
8. < dc:subject > Topological spaces </ dc:subject >
9. < dc:subject > Topology </ dc:subject >
10. < dc:subject > Set theory </ dc:subject >
11. < dc:subject > Cardinal numbers </ dc:subject >
12. < dc:description > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ dc:description >
13. < dc:date > 2024-07-08T11:23:53Z </ dc:date >
14. < dc:date > 2024-07-08T11:23:53Z </ dc:date >
15. < dc:date > 2023-01-01 </ dc:date >
16. < dc:date > 2024-07-08T11:23:59Z </ dc:date >
17. < dc:type > info:eu-repo/semantics/article </ dc:type >
18. < dc:type > info:eu-repo/semantics/publishedVersion </ dc:type >
19. < dc:identifier > 0166-8641 </ dc:identifier >
20. < dc:identifier > http://hdl.handle.net/2445/214429 </ dc:identifier >
21. < dc:identifier > 744329 </ dc:identifier >
22. < dc:language > eng </ dc:language >
23. < dc:relation > Reproducció del document publicat a: https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
24. < dc:relation > Topology and its Applications, 2023, vol. 323 </ dc:relation >
25. < dc:relation > https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
26. < dc:rights > cc-by-nc-nd (c) Joan Bagaria et al., 2023 </ dc:rights >
27. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >
28. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >
29. < dc:format > 23 p. </ dc:format >
30. < dc:format > application/pdf </ dc:format >
31. < dc:publisher > Elsevier B.V. </ dc:publisher >
32. < dc:source > Articles publicats en revistes (Matemàtiques i Informàtica) </ dc:source >
</ oai_dc:dc >

edm

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< rdf:RDF schemaLocation =" http://www.w3.org/1999/02/22-rdf-syntax-ns# http://www.europeana.eu/schemas/edm/EDM.xsd " >
1. < edm:ProvidedCHO about =" https://catalonica.bnc.cat/catalonicahub/lod/oai:diposit.ub.edu:2445_--_214429#ent0 " >
  1. < dc:creator > Bagaria, Joan </ dc:creator >
  2. < dc:creator > da Silva, Samuel G. </ dc:creator >
  3. < dc:date > 2024-07-08T11:23:53Z </ dc:date >
  4. < dc:date > 2024-07-08T11:23:53Z </ dc:date >
  5. < dc:date > 2023-01-01 </ dc:date >
  6. < dc:date > 2024-07-08T11:23:59Z </ dc:date >
  7. < dc:description > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ dc:description >
  8. < dc:identifier > 0166-8641 </ dc:identifier >
  9. < dc:identifier > http://hdl.handle.net/2445/214429 </ dc:identifier >
  10. < dc:identifier > 744329 </ dc:identifier >
  11. < dc:language > eng </ dc:language >
  12. < dc:publisher > Elsevier B.V. </ dc:publisher >
  13. < dc:relation > Reproducció del document publicat a: https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
  14. < dc:relation > Topology and its Applications, 2023, vol. 323 </ dc:relation >
  15. < dc:relation > https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
  16. < dc:rights > cc-by-nc-nd (c) Joan Bagaria et al., 2023 </ dc:rights >
  17. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >
  18. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >
  19. < dc:source > Articles publicats en revistes (Matemàtiques i Informàtica) </ dc:source >
  20. < dc:subject > Espais topològics </ dc:subject >
  21. < dc:subject > Topologia </ dc:subject >
  22. < dc:subject > Teoria de conjunts </ dc:subject >
  23. < dc:subject > Nombres cardinals </ dc:subject >
  24. < dc:subject > Topological spaces </ dc:subject >
  25. < dc:subject > Topology </ dc:subject >
  26. < dc:subject > Set theory </ dc:subject >
  27. < dc:subject > Cardinal numbers </ dc:subject >
  28. < dc:title > $\omega_1$-strongly compact cardinals and normality </ dc:title >
  29. < dc:type > info:eu-repo/semantics/article </ dc:type >
  30. < dc:type > info:eu-repo/semantics/publishedVersion </ dc:type >
  31. < edm:type > TEXT </ edm:type >
  </ edm:ProvidedCHO >
2. < ore:Aggregation about =" https://catalonica.bnc.cat/catalonicahub/lod/oai:diposit.ub.edu:2445_--_214429#ent1 " >
  1. < edm:aggregatedCHO resource =" https://catalonica.bnc.cat/catalonicahub/lod/oai:diposit.ub.edu:2445_--_214429#ent0 " />
  2. < edm:dataProvider > Dipòsit Digital de la Universitat de Barcelona </ edm:dataProvider >
  3. < edm:isShownAt resource =" http://hdl.handle.net/2445/214429 " />
  4. < edm:isShownBy resource =" http://diposit.ub.edu/dspace/bitstream/2445/214429/1/847279.pdf " />
  5. < edm:provider > Catalònica </ edm:provider >
  6. < edm:rights resource =" http://creativecommons.org/licenses/by-nc-nd/3.0/es/ " />
  </ ore:Aggregation >
</ rdf:RDF >

marc

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< record schemaLocation =" http://www.loc.gov/MARC21/slim http://www.loc.gov/standards/marcxml/schema/MARC21slim.xsd " >
1. < leader > 00925njm 22002777a 4500 </ leader >
2. < datafield ind1 =" " ind2 =" " tag =" 042 " >
  1. < subfield code =" a " > dc </ subfield >
  </ datafield >
3. < datafield ind1 =" " ind2 =" " tag =" 720 " >
  1. < subfield code =" a " > Bagaria, Joan </ subfield >
  2. < subfield code =" e " > author </ subfield >
  </ datafield >
4. < datafield ind1 =" " ind2 =" " tag =" 720 " >
  1. < subfield code =" a " > da Silva, Samuel G. </ subfield >
  2. < subfield code =" e " > author </ subfield >
  </ datafield >
5. < datafield ind1 =" " ind2 =" " tag =" 260 " >
  1. < subfield code =" c " > 2023-01-01 </ subfield >
  </ datafield >
6. < datafield ind1 =" " ind2 =" " tag =" 520 " >
  1. < subfield code =" a " > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ subfield >
  </ datafield >
7. < datafield ind1 =" 8 " ind2 =" " tag =" 024 " >
  1. < subfield code =" a " > 0166-8641 </ subfield >
  </ datafield >
8. < datafield ind1 =" 8 " ind2 =" " tag =" 024 " >
  1. < subfield code =" a " > http://hdl.handle.net/2445/214429 </ subfield >
  </ datafield >
9. < datafield ind1 =" 8 " ind2 =" " tag =" 024 " >
  1. < subfield code =" a " > 744329 </ subfield >
  </ datafield >
10. < datafield ind1 =" 0 " ind2 =" 0 " tag =" 245 " >
  1. < subfield code =" a " > $\omega_1$-strongly compact cardinals and normality </ subfield >
  </ datafield >
</ record >

mets

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< mets ID =" DSpace_ITEM_2445-214429 " OBJID =" hdl:2445/214429 " PROFILE =" DSpace METS SIP Profile 1.0 " TYPE =" DSpace ITEM " schemaLocation =" http://www.loc.gov/METS/ http://www.loc.gov/standards/mets/mets.xsd " >
1. < metsHdr CREATEDATE =" 2024-10-23T23:57:28Z " >
  1. < agent ROLE =" CUSTODIAN " TYPE =" ORGANIZATION " >
    1. < name > Dipòsit Digital de la Universitat de Barcelona </ name >
    </ agent >
  </ metsHdr >
2. < dmdSec ID =" DMD_2445_214429 " >
  1. < mdWrap MDTYPE =" MODS " >
    1. < xmlData schemaLocation =" http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd " >
      1. < mods:mods schemaLocation =" http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd " >
        
        < mods:name >
        
        < mods:role >
        
        < mods:roleTerm type =" text " > author </ mods:roleTerm >
        
        </ mods:role >
        
        < mods:namePart > Bagaria, Joan </ mods:namePart >
        
        </ mods:name >
        
        < mods:name >
        
        < mods:role >
        
        < mods:roleTerm type =" text " > author </ mods:roleTerm >
        
        </ mods:role >
        
        < mods:namePart > da Silva, Samuel G. </ mods:namePart >
        
        </ mods:name >
        
        < mods:extension >
        
        < mods:dateAccessioned encoding =" iso8601 " > 2024-07-08T11:23:53Z </ mods:dateAccessioned >
        
        </ mods:extension >
        
        < mods:extension >
        
        < mods:dateAvailable encoding =" iso8601 " > 2024-07-08T11:23:53Z </ mods:dateAvailable >
        
        </ mods:extension >
        
        < mods:originInfo >
        
        < mods:dateIssued encoding =" iso8601 " > 2023-01-01 </ mods:dateIssued >
        
        </ mods:originInfo >
        
        < mods:identifier type =" issn " > 0166-8641 </ mods:identifier >
        
        < mods:identifier type =" uri " > http://hdl.handle.net/2445/214429 </ mods:identifier >
        
        < mods:identifier type =" idgrec " > 744329 </ mods:identifier >
        
        < mods:abstract > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ mods:abstract >
        
        < mods:language >
        
        < mods:languageTerm authority =" rfc3066 " > eng </ mods:languageTerm >
        
        </ mods:language >
        
        < mods:accessCondition type =" useAndReproduction " > cc-by-nc-nd (c) Joan Bagaria et al., 2023 </ mods:accessCondition >
        
        < mods:titleInfo >
        
        < mods:title > $\omega_1$-strongly compact cardinals and normality </ mods:title >
        
        </ mods:titleInfo >
        
        < mods:genre > info:eu-repo/semantics/article </ mods:genre >
        
        </ mods:mods >
      </ xmlData >
    </ mdWrap >
  </ dmdSec >
3. < amdSec ID =" TMD_2445_214429 " >
  1. < rightsMD ID =" RIG_2445_214429 " >
    1. < mdWrap MDTYPE =" OTHER " MIMETYPE =" text/plain " OTHERMDTYPE =" DSpaceDepositLicense " >
      1. < binData > 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 </ binData >
      </ mdWrap >
    </ rightsMD >
  </ amdSec >
4. < amdSec ID =" FO_2445_214429_1 " >
  1. < techMD ID =" TECH_O_2445_214429_1 " >
    1. < mdWrap MDTYPE =" PREMIS " >
      1. < xmlData schemaLocation =" http://www.loc.gov/standards/premis http://www.loc.gov/standards/premis/PREMIS-v1-0.xsd " >
        
        < premis:premis >
        
        < premis:object >
        
        < premis:objectIdentifier >
        
        < premis:objectIdentifierType > URL </ premis:objectIdentifierType >
        
        < premis:objectIdentifierValue > http://diposit.ub.edu/dspace/bitstream/2445/214429/1/847279.pdf </ premis:objectIdentifierValue >
        
        </ premis:objectIdentifier >
        
        < premis:objectCategory > File </ premis:objectCategory >
        
        < premis:objectCharacteristics >
        
        < premis:fixity >
        
        < premis:messageDigestAlgorithm > MD5 </ premis:messageDigestAlgorithm >
        
        < premis:messageDigest > ddef53180c7c8511625c4e72c144b4e8 </ premis:messageDigest >
        
        </ premis:fixity >
        
        < premis:size > 553248 </ premis:size >
        
        < premis:format >
        
        < premis:formatDesignation >
        
        < premis:formatName > application/pdf </ premis:formatName >
        
        </ premis:formatDesignation >
        
        </ premis:format >
        
        </ premis:objectCharacteristics >
        
        < premis:originalName > 847279.pdf </ premis:originalName >
        
        </ premis:object >
        
        </ premis:premis >
        
        </ xmlData >
      </ mdWrap >
    </ techMD >
  </ amdSec >
5. < amdSec ID =" FT_2445_214429_7 " >
  1. < techMD ID =" TECH_T_2445_214429_7 " >
    1. < mdWrap MDTYPE =" PREMIS " >
      1. < xmlData schemaLocation =" http://www.loc.gov/standards/premis http://www.loc.gov/standards/premis/PREMIS-v1-0.xsd " >
        
        < premis:premis >
        
        < premis:object >
        
        < premis:objectIdentifier >
        
        < premis:objectIdentifierType > URL </ premis:objectIdentifierType >
        
        < premis:objectIdentifierValue > http://diposit.ub.edu/dspace/bitstream/2445/214429/7/847279.pdf.txt </ premis:objectIdentifierValue >
        
        </ premis:objectIdentifier >
        
        < premis:objectCategory > File </ premis:objectCategory >
        
        < premis:objectCharacteristics >
        
        < premis:fixity >
        
        < premis:messageDigestAlgorithm > MD5 </ premis:messageDigestAlgorithm >
        
        < premis:messageDigest > 4b558ce8504a73cda2607bc5d71a890f </ premis:messageDigest >
        
        </ premis:fixity >
        
        < premis:size > 75600 </ premis:size >
        
        < premis:format >
        
        < premis:formatDesignation >
        
        < premis:formatName > text/plain </ premis:formatName >
        
        </ premis:formatDesignation >
        
        </ premis:format >
        
        </ premis:objectCharacteristics >
        
        < premis:originalName > 847279.pdf.txt </ premis:originalName >
        
        </ premis:object >
        
        </ premis:premis >
        
        </ xmlData >
      </ mdWrap >
    </ techMD >
  </ amdSec >
6. < fileSec >
  1. < fileGrp USE =" ORIGINAL " >
    1. < file ADMID =" FO_2445_214429_1 " CHECKSUM =" ddef53180c7c8511625c4e72c144b4e8 " CHECKSUMTYPE =" MD5 " GROUPID =" GROUP_BITSTREAM_2445_214429_1 " ID =" BITSTREAM_ORIGINAL_2445_214429_1 " MIMETYPE =" application/pdf " SEQ =" 1 " SIZE =" 553248 " >
      1. < FLocat LOCTYPE =" URL " href =" http://diposit.ub.edu/dspace/bitstream/2445/214429/1/847279.pdf " type =" simple " />
      </ file >
    </ fileGrp >
  2. < fileGrp USE =" TEXT " >
    1. < file ADMID =" FT_2445_214429_7 " CHECKSUM =" 4b558ce8504a73cda2607bc5d71a890f " CHECKSUMTYPE =" MD5 " GROUPID =" GROUP_BITSTREAM_2445_214429_7 " ID =" BITSTREAM_TEXT_2445_214429_7 " MIMETYPE =" text/plain " SEQ =" 7 " SIZE =" 75600 " >
      1. < FLocat LOCTYPE =" URL " href =" http://diposit.ub.edu/dspace/bitstream/2445/214429/7/847279.pdf.txt " type =" simple " />
      </ file >
    </ fileGrp >
  </ fileSec >
7. < structMap LABEL =" DSpace Object " TYPE =" LOGICAL " >
  1. < div ADMID =" DMD_2445_214429 " TYPE =" DSpace Object Contents " >
    1. < div TYPE =" DSpace BITSTREAM " >
      1. < fptr FILEID =" BITSTREAM_ORIGINAL_2445_214429_1 " />
      </ div >
    </ div >
  </ structMap >
</ mets >

mods

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< mods:mods schemaLocation =" http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-1.xsd " >
1. < mods:name >
  1. < mods:namePart > Bagaria, Joan </ mods:namePart >
  </ mods:name >
2. < mods:name >
  1. < mods:namePart > da Silva, Samuel G. </ mods:namePart >
  </ mods:name >
3. < mods:extension >
  1. < mods:dateAvailable encoding =" iso8601 " > 2024-07-08T11:23:53Z </ mods:dateAvailable >
  </ mods:extension >
4. < mods:extension >
  1. < mods:dateAccessioned encoding =" iso8601 " > 2024-07-08T11:23:53Z </ mods:dateAccessioned >
  </ mods:extension >
5. < mods:originInfo >
  1. < mods:dateIssued encoding =" iso8601 " > 2023-01-01 </ mods:dateIssued >
  </ mods:originInfo >
6. < mods:identifier type =" issn " > 0166-8641 </ mods:identifier >
7. < mods:identifier type =" uri " > http://hdl.handle.net/2445/214429 </ mods:identifier >
8. < mods:identifier type =" idgrec " > 744329 </ mods:identifier >
9. < mods:abstract > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ mods:abstract >
10. < mods:language >
  1. < mods:languageTerm > eng </ mods:languageTerm >
  </ mods:language >
11. < mods:accessCondition type =" useAndReproduction " > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ mods:accessCondition >
12. < mods:accessCondition type =" useAndReproduction " > info:eu-repo/semantics/openAccess </ mods:accessCondition >
13. < mods:accessCondition type =" useAndReproduction " > cc-by-nc-nd (c) Joan Bagaria et al., 2023 </ mods:accessCondition >
14. < mods:titleInfo >
  1. < mods:title > $\omega_1$-strongly compact cardinals and normality </ mods:title >
  </ mods:titleInfo >
15. < mods:genre > info:eu-repo/semantics/article </ mods:genre >
16. < mods:genre > info:eu-repo/semantics/publishedVersion </ mods:genre >
</ mods:mods >

qdc

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< qdc:qualifieddc schemaLocation =" http://purl.org/dc/elements/1.1/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dc.xsd http://purl.org/dc/terms/ http://dublincore.org/schemas/xmls/qdc/2006/01/06/dcterms.xsd http://dspace.org/qualifieddc/ http://www.ukoln.ac.uk/metadata/dcmi/xmlschema/qualifieddc.xsd " >
1. < dc:title > $\omega_1$-strongly compact cardinals and normality </ dc:title >
2. < dc:creator > Bagaria, Joan </ dc:creator >
3. < dc:creator > da Silva, Samuel G. </ dc:creator >
4. < dc:subject.classification > Espais topològics </ dc:subject.classification >
5. < dc:subject.classification > Topologia </ dc:subject.classification >
6. < dc:subject.classification > Teoria de conjunts </ dc:subject.classification >
7. < dc:subject.classification > Nombres cardinals </ dc:subject.classification >
8. < dc:subject.other > Topological spaces </ dc:subject.other >
9. < dc:subject.other > Topology </ dc:subject.other >
10. < dc:subject.other > Set theory </ dc:subject.other >
11. < dc:subject.other > Cardinal numbers </ dc:subject.other >
12. < dcterms:abstract > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ dcterms:abstract >
13. < dcterms:dateAccepted > 2024-07-08T11:23:53Z </ dcterms:dateAccepted >
14. < dcterms:available > 2024-07-08T11:23:53Z </ dcterms:available >
15. < dcterms:created > 2024-07-08T11:23:53Z </ dcterms:created >
16. < dcterms:issued > 2023-01-01 </ dcterms:issued >
17. < dc:type > info:eu-repo/semantics/article </ dc:type >
18. < dc:type > info:eu-repo/semantics/publishedVersion </ dc:type >
19. < dc:identifier > 0166-8641 </ dc:identifier >
20. < dc:identifier > http://hdl.handle.net/2445/214429 </ dc:identifier >
21. < dc:identifier > 744329 </ dc:identifier >
22. < dc:identifier.issn > 0166-8641 </ dc:identifier.issn >
23. < dc:language > eng </ dc:language >
24. < dc:relation > Reproducció del document publicat a: https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
25. < dc:relation > Topology and its Applications, 2023, vol. 323 </ dc:relation >
26. < dc:relation > https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
27. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >
28. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >
29. < dc:rights > cc-by-nc-nd (c) Joan Bagaria et al., 2023 </ dc:rights >
30. < dc:publisher > Elsevier B.V. </ dc:publisher >
31. < dc:source > Articles publicats en revistes (Matemàtiques i Informàtica) </ dc:source >
</ qdc:qualifieddc >

rdf

Descarregar XML

<?xml version="1.0" encoding="UTF-8" ?>

< rdf:RDF schemaLocation =" http://www.openarchives.org/OAI/2.0/rdf/ http://www.openarchives.org/OAI/2.0/rdf.xsd " >
1. < ow:Publication about =" oai:diposit.ub.edu:2445/214429 " >
  1. < dc:title > $\omega_1$-strongly compact cardinals and normality </ dc:title >
  2. < dc:creator > Bagaria, Joan </ dc:creator >
  3. < dc:creator > da Silva, Samuel G. </ dc:creator >
  4. < dc:description > We present more applications of the recently introduced -strongly compact cardinals in the context of either consistency or reflection results in General Topology, focusing on issues related to normality. In particular, we show that such large cardinal notion provides a new upper bound for the consistency strength of the statement “All normal Moore spaces are metrizable” (NMSC). The proof uses random forcing, as in the original consistency proof of NMSC due to Nykos-Kunen-Solovay (see Fleissner [10]). We establish a compactness theorem for normality (i.e., reflection of non-normality) in the realm of first countable spaces, using the least -strongly compact cardinal, as well as two more similar compactness results on related topological properties. We finish the paper by combining the techniques of reflection and forcing to show that our new upper bound for the consistency strength of NMSC can be also obtained via Cohen forcing, using some arguments from Dow-Tall-Weiss. </ dc:description >
  5. < dc:date > 2024-07-08T11:23:53Z </ dc:date >
  6. < dc:date > 2024-07-08T11:23:53Z </ dc:date >
  7. < dc:date > 2023-01-01 </ dc:date >
  8. < dc:date > 2024-07-08T11:23:59Z </ dc:date >
  9. < dc:type > info:eu-repo/semantics/article </ dc:type >
  10. < dc:type > info:eu-repo/semantics/publishedVersion </ dc:type >
  11. < dc:identifier > 0166-8641 </ dc:identifier >
  12. < dc:identifier > http://hdl.handle.net/2445/214429 </ dc:identifier >
  13. < dc:identifier > 744329 </ dc:identifier >
  14. < dc:language > eng </ dc:language >
  15. < dc:relation > Reproducció del document publicat a: https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
  16. < dc:relation > Topology and its Applications, 2023, vol. 323 </ dc:relation >
  17. < dc:relation > https://doi.org/10.1016/j.topol.2022.108276 </ dc:relation >
  18. < dc:rights > http://creativecommons.org/licenses/by-nc-nd/3.0/es/ </ dc:rights >
  19. < dc:rights > info:eu-repo/semantics/openAccess </ dc:rights >
  20. < dc:rights > cc-by-nc-nd (c) Joan Bagaria et al., 2023 </ dc:rights >
  21. < dc:publisher > Elsevier B.V. </ dc:publisher >
  22. < dc:source > Articles publicats en revistes (Matemàtiques i Informàtica) </ dc:source >
  </ ow:Publication >
</ rdf:RDF >

Biblioteca de Catalunya Carrer de l'Hospital, 56. 08001 Barcelona Adreça electrònica: catalonica@bnc.cat Tlf.: +34 932 702 300

Repositori OAI