Interior operators, open morphisms and the preservation property

DOI10.1007/s10485-013-9337-4zbMath1316.18002OpenAlexW2079822354MaRDI QIDQ2350314

Gabriele Castellini

Publication date: 19 June 2015

Published in: Applied Categorical Structures (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10485-013-9337-4

zbMATH Keywords

interior operatorpreservation propertyopen morphism

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Definitions and generalizations in theory of categories (18A05) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (11)

Internal Neighbourhood Structures II: Closure and closed morphisms ⋮ Topogenous and nearness structures on categories ⋮ An alternative description of approach spaces via approach cores ⋮ Interior operators and topological separation ⋮ Topogenous orders and related families of morphisms ⋮ Clopen objects, connected objects, and normalized topological categories ⋮ Neighbourhood operators: additivity, idempotency and convergence ⋮ A lax approach to neighbourhood operators ⋮ Codenseness and openness with respect to an interior operator ⋮ Internal neighbourhood structures ⋮ Some remarks on interior operators and the functional property

Cites Work

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• Interior operators and topological separation
• Interior operators in a category: idempotency and heredity
• Categorical neighborhood operators
• Openness with respect to a closure operator
• Interior Operators in General Categories
• Interior Operators and Topological Connectedness
• Interior Operators and Topological Categories
• Categorical Closure Operators

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