Conceptual proofs of the Menger and Rothberger games

Piotr Szewczak; Boaz Tsaban

doi:10.1016/j.topol.2019.107048

Conceptual proofs of the Menger and Rothberger games

Piotr Szewczak, Boaz Tsaban

Department of Mathematics

Bar-Ilan University

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	107048
Journal	Topology and its Applications
Volume	272
DOIs	https://doi.org/10.1016/j.topol.2019.107048
State	Published - 1 Mar 2020

Keywords

Menger property
Rothberger property
Selection principles
Topological games

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.1016/j.topol.2019.107048

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title = "Conceptual proofs of the Menger and Rothberger games",

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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AB - 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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M3 - مقالة

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VL - 272

JO - Topology and its Applications

JF - Topology and its Applications

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Conceptual proofs of the Menger and Rothberger games

Abstract

Keywords

All Science Journal Classification (ASJC) codes

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