An isomorphism of the Wallman and Čech-Stone compactifications

DOI10.2989/16073606.2021.1891991zbMath1494.54001OpenAlexW3138842096MaRDI QIDQ5081661

Eva Lowen-Colebunders, Robert Lowen, Mark Sioen

Publication date: 17 June 2022

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073606.2021.1891991

zbMATH Keywords

regularitynormalityapproach spaceČech-Stone compactificationWallmann compactificationideal-regularweakly symmetric \(T_1\)-space

Mathematics Subject Classification ID

Compactness (54D30) Metric spaces, metrizability (54E35) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Uniform structures and generalizations (54E15) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Extension of maps (54C20) Semimetric spaces (54E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• An alternative description of approach spaces via approach cores
• The Katětov construction modified for a \(T_0\)-quasi-metric space
• The Isbell-hull of a di-space
• An application of approach theory to the relative Hausdorff measure of non-compactness for the Wasserstein metric
• Distances on probability measures and random variables
• On convergence approach spaces
• Normality in terms of distances and contractions
• Normality, regularity and contractive realvalued maps
• Function spaces and contractive extensions in approach theory: the role of regularity
• Complexity analysis via approach spaces
• An isometric study of the Lindeberg-Feller central limit theorem via Stein's method
• Locally Lipschitz functions, cofinal completeness, and UC spaces
• Regularity in approach theory
• Lipschitz-type functions on metric spaces
• Some characterizations of normal and perfectly normal spaces
• Monoidal Topology
• Extensions of contractions and uniform contractions on dense subspaces
• The Banaschewski compactification of an approach space is of Wallman-Shanin-type
• Index Analysis
• Fixed points of contractive maps on dcpo's
• Addendum to ‘The Katětov construction modified for a T₀-quasi-metric space’
• On Real-Valued Functions in Topological Spaces
• Correction to "On real-valued functions in topological spaces"
• A Wallman-Shanin-type compactification for approach spaces

This page was built for publication: An isomorphism of the Wallman and Čech-Stone compactifications