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arxiv: 0903.0068 · v1 · submitted 2009-02-28 · 🧮 math.GN · math.FA

Countable products of spaces of finite sets

classification 🧮 math.GN math.FA
keywords spacesclassificationcountableproductsbanachcardinalitycompactcomplete
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We consider the compact spaces sigma_n(I) of subsets of an uncountable set I of cardinality at most n and their countable products. We give a complete classification of their Banach spaces of continuous functions and a partial topological classification.

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