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Sequential continuity and submeasurable cardinals

✍ Scribed by B. Balcar; M. Hušek

Book ID
104295774
Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
102 KB
Volume
111
Category
Article
ISSN
0166-8641

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✦ Synopsis

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).

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