Selection principles and Baire spaces

Authors

  • Marion Scheepers Department of Mathematics, Boise State University, Boise, Idaho 83725 USA Author

Keywords:

Baire space, First category, Banach-Mazur game, Menger property, Hurewicz property

Subjects:

03E99, 54D20, 54E52

Abstract

We prove that if $X$ is a separable metric space with the Hurewiczcovering property, then the Banach-Mazur game played on $X$ isdetermined. The implication is not true when "Hurewicz coveringproperty" is replaced with "Menger covering property".

Published

2009-07-15

Issue

Vol. 61 No. 3 (2009): Vol. 61, Issue 3

Section

Articles

License

Copyright (c) 2009 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.