Interior operators in a category: idempotency and heredity

DOI10.1016/j.topol.2011.06.030zbMath1230.18002OpenAlexW2037818704MaRDI QIDQ645194

Gabriele Castellini

Publication date: 8 November 2011

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

Full work available at URL: https://doi.org/10.1016/j.topol.2011.06.030

zbMATH Keywords

idempotencyheredityinterior operatorscategorical topologyweak heredity

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Definitions and generalizations in theory of categories (18A05) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32) Categorical structures (18D99)

Related Items (15)

Internal Neighbourhood Structures II: Closure and closed morphisms ⋮ Topological groups with many small subgroups ⋮ Topogenous and nearness structures on categories ⋮ Interior operators and topological separation ⋮ On coarse and fine neighbourhood operators ⋮ Interior and neighbourhood ⋮ Neighbourhood operators: additivity, idempotency and convergence ⋮ A lax approach to neighbourhood operators ⋮ The topology of a quantale valued metric space ⋮ Dual closure operators and their applications ⋮ Codenseness and openness with respect to an interior operator ⋮ Internal neighbourhood structures ⋮ Some remarks on interior operators and the functional property ⋮ Unnamed Item ⋮ Interior operators, open morphisms and the preservation property

Cites Work

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• Closure operators. I
• Bases of topological epi-reflections
• Interior Operators in General Categories
• Interior Operators and Topological Connectedness
• Categorical Closure Operators

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