Sequential continuity and submeasurable cardinals

0174964 - MU-W 20010010 RIV NL eng J - Journal Article
Balcar, Bohuslav - Hušek, M.
Sequential continuity and submeasurable cardinals.
Topology and its Applications. Roč. 111, 1-2 (2001), s. 49-58. ISSN 0166-8641. E-ISSN 1879-3207
R&D Projects: GA ČR GA201/97/0216
Institutional research plan: CEZ:AV0Z1019905
Subject RIV: BA - General Mathematics
Impact factor: 0.280, year: 2001

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).
Permanent Link: http://hdl.handle.net/11104/0071955