English

Conceptual proofs of the Menger and Rothberger games

General Topology 2019-04-08 v1 Logic

Abstract

We provide conceptual proofs of the two most fundamental theorems concerning topological games and open covers: Hurewicz's Theorem concerning the Menger game, and Pawlikowski's Theorem concerning the Rothberger game.

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Cite

@article{arxiv.1904.02736,
  title  = {Conceptual proofs of the Menger and Rothberger games},
  author = {Piotr Szewczak and Boaz Tsaban},
  journal= {arXiv preprint arXiv:1904.02736},
  year   = {2019}
}

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Submitted for publication