Research Article

Some remarks on the projective properties of Menger and Hurewicz

Published in: Quaestiones Mathematicae
Volume 48 , issue 1 , 2025 , pages: 37–47

DOI: 10.2989/16073606.2024.2380499

Author(s): Mikołaj Krupski Universidad de Murcia, Spain , Kacper Kucharski Institute of Mathematics, University of Warsaw, Poland

Keywords: Primary: 54D20 , 54D40 , 91A44 , Menger space , Hurewicz space , projective Menger property , projective Hurewicz property , Porada game

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Abstract

It is known that both the Menger and Hurewicz property of a Tychonoff space X can be described by the way X is placed in its Čech-Stone compactification βX. We provide analogous characterizations for the projective versions of the properties of Menger and Hurewicz.

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