Neighborhoods with respect to a categorical closure operator

DOI10.1007/s10474-009-8108-zzbMath1265.18014OpenAlexW2019506182MaRDI QIDQ1046912

Eraldo Giuli, Josef Šlapal

Publication date: 29 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-009-8108-z

zbMATH Keywords

compactnessseparationneighborhoodcategorical closure operator

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30)

Related Items

Cowellpoweredness of some categories of quasi-uniform spaces ⋮ Realization of categorical idempotent closure operators by preorders ⋮ Categorically closed countable semigroups ⋮ On bases of closure operators on complete lattices ⋮ Absolutely closed semigroups ⋮ Categorical neighborhood operators ⋮ Interior and neighbourhood ⋮ Neighbourhood operators: additivity, idempotency and convergence ⋮ A lax approach to neighbourhood operators ⋮ Unnamed Item ⋮ Internal neighbourhood structures ⋮ Connectivity with respect to \(\alpha\)-discrete closure operators ⋮ Unnamed Item ⋮ Cartesian closedness in categories with an idempotent closure operator and closed morphisms

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