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.
Original language | American English |
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Journal | Mathematics Faculty Publications and Presentations |
State | Published - 1 Nov 2012 |
Keywords
- Lindelöf
- Menger
- Rothberger
- almost
- infinite game
- weakly
EGS Disciplines
- Mathematics