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arXiv · 1202.0194

Weak covering properties and infinite games

Liljana Babinkostova·Bruno A. Pansera·Marion Scheepers
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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.

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Liljana Babinkostova, Bruno A. Pansera, Marion Scheepers. 2012-02-12. Weak covering properties and infinite games. https://arxiv.org/abs/1202.0194

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