About: Sequential continuity and submeasurable cardinals.     Goto   Sponge   NotDistinct   Permalink

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  • Submeasurable cardinals are defined in a similar way as measurable cardinals are. Their characterizations are given by means of sequentially continuous pseudonorms (or homomorphisms) on topological groups and of sequentially continuous ( or uniformly continuous) functions on Cantor spaces (for that purpose it is proved that if a complete Boolean algebra admits a nonconstant sequentially continuous function, it admits a Maharam submeasure).
  • Submeasurable cardinals are defined in a similar way as measurable cardinals are. Their characterizations are given by means of sequentially continuous pseudonorms (or homomorphisms) on topological groups and of sequentially continuous ( or uniformly continuous) functions on Cantor spaces (for that purpose it is proved that if a complete Boolean algebra admits a nonconstant sequentially continuous function, it admits a Maharam submeasure). (en)
Title
  • Sequential continuity and submeasurable cardinals.
  • Sequential continuity and submeasurable cardinals. (en)
skos:prefLabel
  • Sequential continuity and submeasurable cardinals.
  • Sequential continuity and submeasurable cardinals. (en)
skos:notation
  • RIV/67985840:_____/01:05010010!RIV/2003/AV0/A05003/N
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  • 49;58
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  • P(GA201/97/0216), Z(AV0Z1019905), Z(MSM 113200007)
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  • RIV/67985840:_____/01:05010010
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  • N/A (en)
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  • [E7378423ADB0]
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  • Topology and its Applications
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  • 111
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  • Balcar, Bohuslav
  • Hušek, M.
http://linked.open...n/vavai/riv/zamer
issn
  • 0166-8641
number of pages
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