Characterizing Corson and Valdivia compact spaces
General Topology
2016-07-04 v1
Abstract
We give a new characterization of Valdivia compact spaces: A compact space is Valdivia if and only if it has a dense commutatively monotonically retractable subspace. This result solves Problem 5.12 from \cite{sal-rey}. Besides, we introduce the notion of full -skeleton and prove that a compact space is Corson if and only if it has a full -skeleton.
Keywords
Cite
@article{arxiv.1607.00297,
title = {Characterizing Corson and Valdivia compact spaces},
author = {F. Casarrubias-Segura and S. García-Ferreira and R. Rojas-Hernández},
journal= {arXiv preprint arXiv:1607.00297},
year = {2016}
}