English

Countable products of spaces of finite sets

General Topology 2009-03-03 v1 Functional Analysis

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.

Keywords

Cite

@article{arxiv.0903.0068,
  title  = {Countable products of spaces of finite sets},
  author = {Antonio Avilés},
  journal= {arXiv preprint arXiv:0903.0068},
  year   = {2009}
}