Categorical differentiation theory and Cauchy continuity

DOI10.1016/0166-8641(93)90132-WzbMath0846.54017OpenAlexW2002573260MaRDI QIDQ1313942

P. Bonenfant, Louis D. Nel

Publication date: 25 September 1996

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

Full work available at URL: https://doi.org/10.1016/0166-8641(93)90132-w

zbMATH Keywords

Cauchy spacescategorical differentiation theorytopocosmtoponome

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Uniform structures and generalizations (54E15) Methods of category theory in functional analysis (46M99)

Cites Work

• The category of Cauchy spaces is Cartesian closed
• Infinite dimensional calculus allowing nonconvex domains with empty interior
• HEREDITARY TOPOLOGICAL CATEGORIES AND TOPOLOGICAL UNIVERSES
• INTRINSIC FUNCTIONAL ANALYSIS OF SEQUENTIAL CONVERGENCE SPACES
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