The category of Cauchy spaces is Cartesian closed

DOI10.1016/0166-8641(87)90098-8zbMath0634.54009OpenAlexW2009581377MaRDI QIDQ1096916

H. L. Bentley, Eva Lowen-Colebunders, Horst Herrlich

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90098-8

zbMATH Keywords

Cauchy spacescartesian closed topological category

Mathematics Subject Classification ID

Function spaces in general topology (54C35) Categorical methods in general topology (54B30) Quotient spaces, decompositions in general topology (54B15) Special categories (18B99) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Related Items (4)

Topological improvements of categories of structured sets ⋮ Convergence ⋮ Unnamed Item ⋮ Categorical differentiation theory and Cauchy continuity

Cites Work

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• Are there convenient subcategories of Top?
• Cauchy spaces with regular completions
• Regular completions of Cauchy spaces
• Die Limes-Uniformisierbarkeit der Limesräume
• On the Regularity of the Kowalsky Completion
• Regular completions of Cauchy spaces via function algebras
• Limesräume und Komplettierung
• Completions of uniform convergence spaces

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