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

Cardinal Stefan Wyszynski University

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

10 Scopus citations

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

Bibliographical note

Publisher Copyright:
© 2020 Elsevier B.V.

Keywords

Menger property
Rothberger property
Selection principles
Topological games

Access to Document

10.1016/j.topol.2019.107048

Cite this

@article{f16d30a1e1bb4fcb949c8b23a3158131,

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.",

keywords = "Menger property, Rothberger property, Selection principles, Topological games",

author = "Piotr Szewczak and Boaz Tsaban",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier B.V.",

year = "2020",

month = mar,

day = "1",

doi = "10.1016/j.topol.2019.107048",

language = "אנגלית",

volume = "272",

journal = "Topology and its Applications",

issn = "0166-8641",

publisher = "Elsevier B.V.",

}

TY - JOUR

T1 - Conceptual proofs of the Menger and Rothberger games

AU - Szewczak, Piotr

AU - Tsaban, Boaz

PY - 2020/3/1

Y1 - 2020/3/1

N2 - 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.

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.

KW - Menger property

KW - Rothberger property

KW - Selection principles

KW - Topological games

UR - http://www.scopus.com/inward/record.url?scp=85077928688&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2019.107048

DO - 10.1016/j.topol.2019.107048

M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???

AN - SCOPUS:85077928688

SN - 0166-8641

VL - 272

JO - Topology and its Applications

JF - Topology and its Applications

M1 - 107048

ER -

Conceptual proofs of the Menger and Rothberger games

Abstract

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this