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. (C) 2012 Elsevier B.V. All rights reserved.
Weak covering properties and infinite games
PANSERA, BRUNO ANTONIO;
2012-01-01
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. (C) 2012 Elsevier B.V. All rights reserved.File in questo prodotto:
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