Projective versions of the properties in the Scheepers Diagram

Alexander V. Osipov

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arXiv · 1812.05925

Projective versions of the properties in the Scheepers Diagram

Alexander V. Osipov

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Abstract

Let $\mathcal{P}$ be a topological property. A.V. Arhangel'skii calls $X$ projectively $\mathcal{P}$ if every second countable continuous image of $X$ is $\mathcal{P}$. Lj.D.R. Ko$\check{c}$inac characterized the classical covering properties of Menger, Rothberger, Hurewicz and Gerlits-Nagy in term of continuous images in $\mathbb{R}^{\omega}$. In this paper we study the functional characterizations of all projective versions of the selection properties in the Scheepers Diagram.

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Alexander V. Osipov. 2018-12-13. Projective versions of the properties in the Scheepers Diagram. https://arxiv.org/abs/1812.05925

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