Kan extendable subcategories and fibrewise topology

DOI10.21494/iste.op.2024.1199zbMATH Open1548.18002MaRDI QIDQ6629786

Moncef Ghazel

Publication date: 30 October 2024

Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

Cartesian closed categoryreflective subcategoryKan extensioncodensity monaddense functorreflective hullfibrewise topological space

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Categorical methods in general topology (54B30) Fibrewise topology (55R70) Closed categories (closed monoidal and Cartesian closed categories, etc.) (18D15)

Cites Work

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• Adequate subcategories
• Cartesianness: topological spaces, uniform spaces, and affine schemes
• Localizations as idempotent approximations to completions
• Comparing Cartesian closed categories of (core) compactly generated spaces
• Fibrewise compactly-generated spaces
• The exponential law of maps. II
• Kan extensions in enriched category theory
• A reflection theorem for closed categories
• On the ordered set of reflective subcategories
• General function spaces, products and continuous lattices
• Intersections of Reflective Subcategories
• Spaces of partial maps, fibred mapping spaces and the compact-open topology
• The Exponential Law of Maps I
• Categorical topology
• Coreflective Subcategories
• Coreflective subcategories in general topology
• Reflective subcategories

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