Weak Covering Properties and Infinite Games

L. Babinkostova, B. A. Pansera, M. Scheepers

Research output: Contribution to journalArticlepeer-review

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 languageAmerican English
JournalMathematics Faculty Publications and Presentations
StatePublished - 1 Nov 2012

Keywords

  • Lindelöf
  • Menger
  • Rothberger
  • almost
  • infinite game
  • weakly

EGS Disciplines

  • Mathematics

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