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2009 | 57 | 3 | 279-287
Tytu艂 artyku艂u

An Isomorphic Classification of $C(2^{饾敧} 脳 [0,伪])$ Spaces

Tre艣膰 / Zawarto艣膰
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J臋zyki publikacji
EN
Abstrakty
EN
We present an extension of the classical isomorphic classification of the Banach spaces C([0,伪]) of all real continuous functions defined on the nondenumerable intervals of ordinals [0,伪]. As an application, we establish the isomorphic classification of the Banach spaces $C(2^{饾敧} 脳 [0,伪])$ of all real continuous functions defined on the compact spaces $2^{饾敧} 脳 [0,伪]$, the topological product of the Cantor cubes $2^{饾敧}$ with 饾敧 smaller than the first sequential cardinal, and intervals of ordinal numbers [0,伪]. Consequently, it is relatively consistent with ZFC that this yields a complete isomorphic classification of $C(2^{饾敧} 脳 [0,伪])$ spaces.
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Tw贸rcy
  • Department of Mathematics, University of S茫o Paulo, S茫o Paulo, Brazil 05508-090
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bwmeta1.element.bwnjournal-article-doi-10_4064-ba57-3-9
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