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/