On isomorphism classes of C(2(m) circle plus [0, alpha]) spaces
Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
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Data(s) |
20/10/2012
20/10/2012
2009
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Resumo |
We provide a complete isomorphic classification of the Banach spaces of continuous functions on the compact spaces 2(m) circle plus [0, alpha], the topological sums of Cantor cubes 2(m), with m smaller than the first sequential cardinal, and intervals of ordinal numbers [0, alpha]. In particular, we prove that it is relatively consistent with ZFC that the only isomorphism classes of C(2(m) circle plus [0, alpha]) spaces with m >= N(0) and alpha >= omega(1) are the trivial ones. This result leads to some elementary questions on large cardinals. |
Identificador |
FUNDAMENTA MATHEMATICAE, v.204, n.1, p.87-95, 2009 0016-2736 http://producao.usp.br/handle/BDPI/30612 10.4064/fm204-1-5 |
Idioma(s) |
eng |
Publicador |
POLISH ACAD SCIENCES INST MATHEMATICS |
Relação |
Fundamenta Mathematicae |
Direitos |
closedAccess Copyright POLISH ACAD SCIENCES INST MATHEMATICS |
Palavras-Chave | #Banach spaces of continuous functions #Cantor cube #isomorphic classification #Mazur property #sequential cardinal #BANACH-SPACES #Mathematics |
Tipo |
article original article publishedVersion |