External characterization of I-favorable spaces
General Topology
2015-03-17 v2
Abstract
We provide both a spectral and an internal characterizations of arbitrary I-favorable spaces with respect to co-zero sets. As a corollary we establish that any product of compact I-favorable spaces with respect to co-zero sets is also I-favorable with respect to co-zero sets. We also prove that every C*-embedded I-favorable with respect to co-zero sets subspace of an extremally disconnected space is extremally disconnected.
Keywords
Cite
@article{arxiv.1005.0074,
title = {External characterization of I-favorable spaces},
author = {Vesko Valov},
journal= {arXiv preprint arXiv:1005.0074},
year = {2015}
}
Comments
17 pages