Document Type

Article

Publication Date

11-1-2012

DOI

http://dx.doi.org/10.1016/j.topol.2012.09.009

Abstract

We investigate game-theoretic properties of selection principles related to weaker forms of the Menger and Rothberger properties. For appropriate spaces some of these selection principles are characterized in terms of a corresponding game. We use generic extensions by Cohen reals to illustrate the necessity of some of the hypotheses in our theorems.

Copyright Statement

NOTICE: this is the author's version of a work that was accepted for publication in Topology and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Topology and its Applications, 159(17), 2012. DOI: 10.1016/j.topol.2012.09.009

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Mathematics Commons

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