We consider the compact spaces σₙ(Γ) of subsets of Γ 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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-3, author = {Antonio Avil\'es}, title = {Countable products of spaces of finite sets}, journal = {Fundamenta Mathematicae}, volume = {185}, year = {2005}, pages = {147-159}, zbl = {1087.46014}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-3} }
Antonio Avilés. Countable products of spaces of finite sets. Fundamenta Mathematicae, Tome 185 (2005) pp. 147-159. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm186-2-3/