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Openness with respect to a closure operator

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Publication:1840751
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DOI10.1023/A:1008750131418zbMath0981.18001WikidataQ115962269 ScholiaQ115962269MaRDI QIDQ1840751

Walter Tholen, Eraldo Giuli

Publication date: 13 March 2002

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


zbMATH Keywords

closure operatorclosed morphismopen morphism


Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Categorical methods in general topology (54B30) Limits and colimits (products, sums, directed limits, pushouts, fiber products, equalizers, kernels, ends and coends, etc.) (18A30) Factorization systems, substructures, quotient structures, congruences, amalgams (18A32)


Related Items (10)

Another approach to connectedness with respect to a closure operator ⋮ Unnamed Item ⋮ Topogenous orders and related families of morphisms ⋮ Convergence on categories ⋮ Spaces modelled by an algebra on \([0,\infty \) and their complete objects] ⋮ A lax approach to neighbourhood operators ⋮ Zariski closure, completeness and compactness ⋮ Neighborhoods with respect to a categorical closure operator ⋮ Unnamed Item ⋮ Interior operators, open morphisms and the preservation property




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