Classification of selectors for sequences of dense sets of Baire functions

DOI10.1016/J.TOPOL.2019.02.050zbMath1418.54008arXiv1710.07272OpenAlexW2962688186MaRDI QIDQ1738943

Alexander V. Osipov

Publication date: 24 April 2019

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.07272

zbMATH Keywords

function spacesselection principlesfan tightnessstrong fan tightnessBaire functionsequentially separable$\alpha_i$-property

Mathematics Subject Classification ID

Continuous maps (54C05) Function spaces in general topology (54C35) Selections in general topology (54C65) Convergence in general topology (sequences, filters, limits, convergence spaces, nets, etc.) (54A20)

Related Items (2)

Selection principles in function spaces with the compact-open topology ⋮ On selective sequential separability of function spaces with the compact-open topology

Cites Work

• Variations of selective separability
• The combinatorics of Borel covers
• Classification of selectors for sequences of dense sets of \(C_{p}(X)\)
• The functional characterizations of the Rothberger and Menger properties
• On the different kinds of separability of the space of Borel functions
• Application of selection principles in the study of the properties of function spaces
• The combinatorics of open covers. II
• [https://portal.mardi4nfdi.de/wiki/Publication:3032970 Property C � � and Function Spaces]
• The Density Character of Function Spaces
• A functional characterization of the Hurewicz property
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