Some remarks on the projective properties of Menger and Hurewicz

2023/02/24 by Krupski, Mikołaj, Kucharski, Kacper
#54D20 #54D40 #91A44 #FOS: Mathematics #General Topology (math.GN)

paper · doi:10.48550/arxiv.2302.12933

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.

Related

• On the definability of Menger spaces which are not /sigma-compact
• On the interplay between productively Menger and productively Hurewicz spaces in models of \mathfrak b=\mathfrak d
• The Menger and projective Menger properties of function spaces with the set-open topology
• The projectively Hurewicz property is t-invariant
• Linear homeomorphisms of function spaces and the position of a space in its compactification