Banach-Mazur game and open mapping theorem

DOI10.1016/j.topol.2022.108330OpenAlexW4308464283MaRDI QIDQ2105024

Dominikus Noll

Publication date: 8 December 2022

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

Full work available at URL: https://arxiv.org/abs/2211.00432

zbMATH Keywords

Baire spaceBanach-Mazur gameclosed graph theoremopen mapping theorem

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Baire category, Baire spaces (54E52) Several topologies on one set (change of topology, comparison of topologies, lattices of topologies) (54A10) Quotient spaces, decompositions in general topology (54B15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10)

Related Items (1)

Once again on topological spaces containing a dense completely metrizable subset

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Semitopological groups, Bouziad spaces and topological groups
• Metrizable universal minimal flows of Polish groups have a comeagre orbit
• Quelques propriétés des espaces \(\alpha\)-favorables et applications aux convexes compacts
• Sums and products of \(B_ r\) spaces
• Borel selectors for upper semi-continuous set-valued maps
• Almost complete spaces, hypercomplete spaces and related mapping theorems
• Topological groups which satisfy an open mapping theorem
• Topological vector spaces. The theory without convexity conditions
• Fragmentability of open sets and topological games
• On spaces with fragmentable open sets
• Nicht alle \(T_ 2\)-minimalen Räume sind von 2. Kategorie. (Not all \(T_ 2\)-minimal spaces are of second category)
• Barely Baire spaces
• On the Comparison of Topologies
• Completeness and the open mapping theorem
• The product of a Baire space with a hereditarily Baire metric space is Baire
• Baire Spaces and Graph Theorems
• A Note on Completely Metrizable Spaces
• Open mapping theorems in topological spaces
• Baire Category and B r -Spaces
• Cartesian products of Baire spaces
• Topological Spaces That are α-Favorable for a Player with Perfect Information
• Quotient Uniformities
• Associated Regular Spaces

This page was built for publication: Banach-Mazur game and open mapping theorem