Countable products of spaces of finite sets
Volume 186 / 2005
Fundamenta Mathematicae 186 (2005), 147-159
MSC: 46B50, 46B26, 54B10, 54D30, 46B03.
DOI: 10.4064/fm186-2-3
Abstract
We consider the compact spaces $\sigma _n({\mit\Gamma} )$ of subsets of ${\mit\Gamma} $ 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.
