On strongly quasi-metrizable spaces

DOI10.1007/BF01193823zbMath0504.54028OpenAlexW2002252030MaRDI QIDQ1836184

Hans-Peter A. Künzi

Publication date: 1983

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01193823

zbMATH Keywords

invariance under open mapssemi-metrizable gamma-spacestrong quasi-metrizability

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Uniform structures and generalizations (54E15) Bitopologies (54E55)

Related Items (23)

Strong extrema of functions on quasi-metric and compact spaces ⋮ Borel classification via quasi-metrics ⋮ Unsymmetric \(T_0\)-quasi-metrics ⋮ The Katětov construction modified for a \(T_0\)-quasi-metric space ⋮ Cocompactness and quasi-uniformizability of completely metrizable spaces. ⋮ Applications of utility functions defined on quasi-metric spaces ⋮ Real-valued functions and some related spaces ⋮ Quasi-pseudo-metrization of topological preordered spaces ⋮ On equinormal quasi-metrics ⋮ The quasimetrization problem in the (bi)topological spaces ⋮ Set-valued maps and some generalized metric spaces ⋮ Stability in quasi-uniform spaces and the inverse problem ⋮ Borel and Hausdorff hierarchies in topological spaces of Choquet games and their effectivization ⋮ \(g\)-functions and some related spaces ⋮ Real-valued functions and some related spaces II ⋮ Characterizations of absolute F σδ-sets ⋮ Weak bases and quasi-pseudo-metrization of bispaces ⋮ Some remarks on quasi-uniform spaces ⋮ Quasi-metrizability ⋮ The structure of the set of local minima of functions in various spaces ⋮ Bispaces admitting only bicomplete or only totally bounded quasi-metrics ⋮ On σ-discrete borel mappings via quasi-metrics ⋮ The coregular property on γ-spaces

Cites Work

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• Open compact mappings, Moore spaces and orthocompactness
• Neighbornets
• Locally quasi-uniform spaces with countable bases
• On quasi-metric spaces
• Polyhedra whose deleted products have the homotopy type of the n-sphere
• Concerning semi-stratifiable spaces
• Spaces defined by sequences of open covers which guarantee that certain sequences have cluster points
• Closed Mappings and Quasi-Metrics
• Shorter Notes: A Short Proof of the Junnila Quasi-Metrization Theorem
• Metacompactness and the class MOBI
• Solution of the γ-Space Problem
• Locally Uniform Spaces
• Metrization of Topological Spaces
• Bitopological spaces

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