A diagonal theorem for epireflective subcategories of Top and cowellpoweredness

DOI10.1007/BF01790546zbMath0617.54006OpenAlexW2092096481WikidataQ115960153 ScholiaQ115960153MaRDI QIDQ1822077

Miroslav Hušek, Eraldo Giuli

Publication date: 1986

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01790546

zbMATH Keywords

closure operatorscowellpowerednessquotient-reflective subcategories

Mathematics Subject Classification ID

Adjoint functors (universal constructions, reflective subcategories, Kan extensions, etc.) (18A40) Topological spaces and generalizations (closure spaces, etc.) (54A05) Categorical methods in general topology (54B30)

Related Items (19)

Unnamed Item ⋮ Cowellpoweredness of some categories of quasi-uniform spaces ⋮ Factorizations, denseness, separation, and relatively compact objects ⋮ The category of \(S(\alpha)\)-spaces is not cowellpowered ⋮ Closure operators. I ⋮ On spaces in which every bounded subset is Hausdorff ⋮ Objects with closed diagonals ⋮ Closure operators and functorial topologies ⋮ Unnamed Item ⋮ Epimorphisms and closure operators of categories of semilattices ⋮ TOPOLOGICAL CATEGORIES AND CLOSURE OPERATORS ⋮ Separation versus connectedness ⋮ Reflective subcategories ⋮ Factorization, diagonal separation, and disconnectedness ⋮ Unnamed Item ⋮ GLOBAL CLOSURE OPERATORS VS. SUBCATEGORIES ⋮ Unnamed Item ⋮ Cowellpoweredness and closure operators in categories of coarse spaces ⋮ Hausdorff separation in categories

Cites Work

• The category of Urysohn spaces is not cowellpowered
• Bases of topological epi-reflections
• On weak Hausdorff spaces
• Epi und extremer Mono in \(T_{2a}\)
• Ordinal invariants for topological spaces
• Topologische Reflexionen und Coreflexionen
• Ordinal invariants in topology I. on two questions of Arhangel'skiǐ and Franklin
• Semi-Hausdorff Spaces
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