Almost complete spaces, hypercomplete spaces and related mapping theorems

DOI10.1016/0166-8641(91)90103-SzbMath0749.54003OpenAlexW2025247875MaRDI QIDQ1183636

Ernest Michael

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(91)90103-s

zbMATH Keywords

perfect mapsdense subspacesalmost Čech complete spacesalmost completenessdemi-open mapshypercompleteness

Mathematics Subject Classification ID

Complete metric spaces (54E50) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Fairly general properties of topological spaces (54D99)

Related Items (19)

The topology of uniform convergence on Lindelöf subsets ⋮ Usco selections of densely defined set-valued mappings ⋮ Topological spaces related to the Banach-Mazur game and the generic well- posedness of optimization problems ⋮ On the completeness properties of the C-compact-open topology on C(X) ⋮ The semi-Polish theorem: one-sided vs joint continuity in groups ⋮ Effros, Baire, Steinhaus and non-separability ⋮ The metrizability and completeness of the \(\sigma \)-compact-open topology on \(C^*(X)\) ⋮ Analytically heavy spaces: analytic Cantor and analytic Baire theorems ⋮ Once again on topological spaces containing a dense completely metrizable subset ⋮ Completeness properties of the pseudocompact-open topology on C(X) ⋮ σ‐fragmentability and analyticity ⋮ Completeness properties of the open-point and bi-point-open topologies on {\(C(X)\)} ⋮ Topological and functional analytic properties of the compact-\(G_\delta\)-open topology on \(C(X)\) ⋮ The metrizability and completeness of the support-open topology on \(C(X)\) ⋮ Bornologies, topological games and function spaces ⋮ Variational principles and topological games ⋮ Dichotomy and infinite combinatorics: the theorems of Steinhaus and Ostrowski ⋮ The compact-open topology: A new perspective ⋮ Banach-Mazur game and open mapping theorem

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