Once again on topological spaces containing a dense completely metrizable subset

DOI10.1016/j.topol.2023.108721OpenAlexW4386886884MaRDI QIDQ6142396

Kenderov, Petar S., Julian Petrov Revalski

Publication date: 21 December 2023

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

Full work available at URL: https://doi.org/10.1016/j.topol.2023.108721

zbMATH Keywords

topological gameBaire categorycompletely metrizable spaceselections of multi-valued mappings

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Complete metric spaces (54E50) Baire category, Baire spaces (54E52) Selections in general topology (54C65)

Cites Work

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• A topological completeness concept with applications to the open mapping theorem and the separation of convex sets
• Borel selectors for upper semi-continuous set-valued maps
• Norm fragmented weak\(^*\) compact sets
• Almost complete spaces, hypercomplete spaces and related mapping theorems
• Über die Axiome des metrischen Raumes
• Fragmentability of open sets and topological games
• Banach-Mazur game and open mapping theorem
• On spaces with fragmentable open sets
• Spaces with fragmentable open sets
• Internal characterization of fragmentable spaces
• The Dual of a Gateaux Smooth Banach Space is Weak Star Fragmentable
• The Banach-Mazur Game and Generic Existence of Solutions to Optimization Problems
• On the Preservation of Baire Category Under Preimages
• Fragmentability and σ-fragmentability
• Densely Defined Selections of Multivalued Mappings
• On Quasi-Metric Spaces
• Fragmentability and Sigma-Fragmentability of Banach Spaces
• Generic well‐posedness of optimization problems in topological spaces
• Theorems of Namioka and R. E. Johnson Type for Upper Semicontinuous and Compact Valued Set-Valued Mappings
• A generic factorization theorem
• Non-Hausdorff Topology and Domain Theory
• Neighborly Functions
• Types of Functions
• Continuity points of quasi-continuous mappings.

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