Classification of selectors for sequences of dense sets of Baire functions

2017/10/18 by Alexander V. Osipov, Osipov, Alexander V. · 2 citations
Mathematics · #Advanced Banach Space Theory #Advanced Topology and Set Theory #FOS: Mathematics #General Topology (math.GN) #Rings, Modules, and Algebras #math.GN

paper · pdf · doi:10.48550/arxiv.1710.07272

27 pages, 3 figures.arXiv admin note: substantial text overlap with arXiv:1708.06404, arXiv:1702.06328

openalex publication_date 2017/10/18 · arxiv created 2017/11/06 · arxiv updated 2017/11/08 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28

Abstract

For a Tychonoff space X, we denote by B(X) the space of all Baire functions on X with the topology of pointwise convergence. In this paper we investigate selectors for sequences of countable dense and countable sequentially dense sets of the space B(X).

Citations

• Classification of selectors for sequences of dense sets of Cp(X)
• On the different kinds of separability of the space of Borel functions

Cited by

• The functional characteristics of the Rothberger and Menger properties
• Projective versions of the properties in the Scheepers Diagram

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