Interior Operators in General Categories

DOI10.2989/16073600009485987zbMath0974.18003OpenAlexW2043327191MaRDI QIDQ2710060

S. J. Roelof Vorster

Publication date: 9 December 2001

Published in: Quaestiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2989/16073600009485987

zbMATH Keywords

closure operatorinterior operator

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30) Preorders, orders, domains and lattices (viewed as categories) (18B35) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items (25)

Internal Neighbourhood Structures II: Closure and closed morphisms ⋮ Prominent interior GE-filters of GE-algebras ⋮ Topological groups with many small subgroups ⋮ Topogenous and nearness structures on categories ⋮ Quasi-uniform structures determined by closure operators ⋮ Interior operators and topological separation ⋮ Topogenous orders and related families of morphisms ⋮ Transitive quasi-uniform structures depending on a parameter ⋮ On coarse and fine neighbourhood operators ⋮ Interior operators in a category: idempotency and heredity ⋮ Categorical neighborhood operators ⋮ Unnamed Item ⋮ Interior and neighbourhood ⋮ Neighbourhood operators: additivity, idempotency and convergence ⋮ A lax approach to neighbourhood operators ⋮ The topology of a quantale valued metric space ⋮ A categorical approach to convergence: compactness ⋮ Dual closure operators and their applications ⋮ Codenseness and openness with respect to an interior operator ⋮ Internal neighbourhood structures ⋮ Quasi-uniform and syntopogenous structures on categories ⋮ Some remarks on interior operators and the functional property ⋮ Unnamed Item ⋮ Epireflective subcategories and formal closure operators ⋮ Interior operators, open morphisms and the preservation property

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