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• # Artykuł - szczegóły

## Bulletin of the Polish Academy of Sciences. Mathematics

2009 | 57 | 3 | 279-287

## An Isomorphic Classification of $C(2^{𝔪} × [0,α])$ Spaces

EN

### Abstrakty

EN
We present an extension of the classical isomorphic classification of the Banach spaces C([0,α]) of all real continuous functions defined on the nondenumerable intervals of ordinals [0,α]. As an application, we establish the isomorphic classification of the Banach spaces $C(2^{𝔪} × [0,α])$ of all real continuous functions defined on the compact spaces $2^{𝔪} × [0,α]$, the topological product of the Cantor cubes $2^{𝔪}$ with 𝔪 smaller than the first sequential cardinal, and intervals of ordinal numbers [0,α]. Consequently, it is relatively consistent with ZFC that this yields a complete isomorphic classification of $C(2^{𝔪} × [0,α])$ spaces.

279-287

wydano
2009

### Twórcy

autor
• Department of Mathematics, University of São Paulo, São Paulo, Brazil 05508-090