This is an announcement for the paper "Countable products of spaces of finite sets" by Antonio Aviles.

Abstract: 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.

Archive classification: math.GN math.FA

Mathematics Subject Classification: 46B50, 46B26, 54B10, 54D30

Citation: Fundamenta Math. 186, No. 2, 147-159 (2005)

The source file(s), SigmakProducts.tex: 40152 bytes, is(are) stored in gzipped form as 0903.0068.gz with size 12kb. The corresponding postcript file has gzipped size 102kb.

Submitted from: avileslo@um.es

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