Interior operators and topological separation

DOI10.1016/j.topol.2013.05.023zbMath1284.54024OpenAlexW2011409593MaRDI QIDQ390424

Gabriele Castellini, Edwin G. Murcia

Publication date: 8 January 2014

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

Full work available at URL: https://doi.org/10.1016/j.topol.2013.05.023

zbMATH Keywords

Galois connectioninterior operatorHausdorff separation

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Galois correspondences, closure operators (in relation to ordered sets) (06A15)

Related Items

Internal Neighbourhood Structures II: Closure and closed morphisms ⋮ Neighbourhood operators: additivity, idempotency and convergence ⋮ Codenseness and openness with respect to an interior operator ⋮ Internal neighbourhood structures ⋮ Some remarks on interior operators and the functional property ⋮ Interior operators, open morphisms and the preservation property

Cites Work

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• Interior operators in a category: idempotency and heredity
• Categorical neighborhood operators
• Interior operators, open morphisms and the preservation property
• Interior Operators in General Categories
• Categorical Closure Operators