Selection Principles and Baire spaces
General Topology
2007-11-08 v1
Abstract
We prove that if X is a separable metric space with the Hurewicz covering property, then the Banach-Mazur game played on X is determined. The implication is not true when "Hurewicz covering property" is replaced with "Menger covering property".
Cite
@article{arxiv.0711.1104,
title = {Selection Principles and Baire spaces},
author = {Marion Scheepers},
journal= {arXiv preprint arXiv:0711.1104},
year = {2007}
}
Comments
7 pages