Valdivia compact Abelian groups
General Topology
2012-10-23 v2
Abstract
Let R denote the smallest class of compact spaces containing all metric compacta and closed under limits of continuous inverse sequences of retractions. Class R is striclty larger than the class of Valdivia compact spaces. We show that every compact connected Abelian group which is a topological retract of a space from class R is necessarily isomorphic to a product of metric groups. This completes the result of V. Uspenskij and the author, where a compact connected Abelian group outside class R has been described.
Keywords
Cite
@article{arxiv.0706.3772,
title = {Valdivia compact Abelian groups},
author = {Wieslaw Kubiś},
journal= {arXiv preprint arXiv:0706.3772},
year = {2012}
}