Function spaces in metrically generated theories

DOI10.1016/J.TOPOL.2009.03.030zbMath1175.54029OpenAlexW1979139395MaRDI QIDQ2390514

E. Vandersmissen, A. Van Geenhoven

Publication date: 23 July 2009

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

Full work available at URL: https://hdl.handle.net/10067/945390151162165141

zbMATH Keywords

approach spaceAscoli theoremprecompact spacemetrically generated constructcomplete function space

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Categorical methods in general topology (54B30) Special categories (18B99) Fairly general properties of topological spaces (54D99)

Cites Work

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• C-complete quasi-uniform spaces
• AUnif: A common supercategory of pMET and Unif
• An Ascoli theorem in approach theory.
• Uniqueness of completion for metrically generated constructs
• Completion via nearness for metrically generated constructs
• Stone-Čech compactification of a product
• Approach Spaces A Common Supercategory of TOP and MET
• Metrically generated theories
• Axiom systems for Lipschitz structures

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