Products of Luzin-type sets with combinatorial properties

Piotr Szewczak; Grzegorz Wiśniewski

doi:10.1016/j.topol.2019.05.015

Products of Luzin-type sets with combinatorial properties

Piotr Szewczak, Grzegorz Wiśniewski

Cardinal Stefan Wyszynski University

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

3 Scopus citations

Abstract

We construct Luzin-type subsets of the real line in all finite powers Rothberger, with a non-Menger product. To this end, we use a purely combinatorial approach which allows to weaken assumptions used earlier to construct sets with analogous properties. Our assumptions hold, e.g., in the Random model, where already known category theoretic methods fail.

Original language	English
Pages (from-to)	420-433
Number of pages	14
Journal	Topology and its Applications
Volume	264
DOIs	https://doi.org/10.1016/j.topol.2019.05.015
State	Published - 1 Sep 2019
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2019 Elsevier B.V.

Keywords

Luzin set
Menger property
Product space
Rothberger property
Scales
Scheepers property

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10.1016/j.topol.2019.05.015

Cite this

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KW - Product space

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KW - Scales

KW - Scheepers property

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Products of Luzin-type sets with combinatorial properties

Abstract

Bibliographical note

Keywords

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