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Reflective subcategories. (English) Zbl 0629.18004

Author’s abstract: “For an abstract category \({\mathcal C}\), several sufficient conditions for the intersection of two or of a larger collection of full reflective subcategories of \({\mathcal C}\) to be reflective are presented. The given criteria are applicable particularly when \({\mathcal C}\) is a concrete topological category.”
Reviewer: E.Giuli

MSC:

18A40 Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.)
18A32 Factorization systems, substructures, quotient structures, congruences, amalgams
18B30 Categories of topological spaces and continuous mappings (MSC2010)
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References:

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