The functional characteristics of the Rothberger and Menger properties

2018/05/25 by Alexander V. Osipov, Osipov, Alexander V. · 2 citations
Decision Sciences · Mathematics · #Advanced Topology and Set Theory #FOS: Mathematics #Fuzzy and Soft Set Theory #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN

paper · pdf · doi:10.48550/arxiv.1805.11019

11 pages. arXiv admin note: substantial text overlap with arXiv:1708.06404, arXiv:1710.07272; text overlap with arXiv:1805.04363, arXiv:1805.05794

arxiv created 2018/05/25 · openalex publication_date 2018/05/25 · arxiv updated 2018/05/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we give the functional characteristics of the Rothberger and Menger properties.

Citations

• Classification of selectors for sequences of dense sets of Cp(X)
• Classification of selectors for sequences of dense sets of Baire functions
• Selection principles in function spaces with the compact-open topology
• On selective sequential separability of function spaces with the compact-open topology

Cited by

• A functional characterization of the Hurewicz property
• Projective versions of the properties in the Scheepers Diagram

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