Epimorphisms and cowellpoweredness for separated metrically generated theories

DOI10.1007/s10474-006-0518-6zbMath1121.54023OpenAlexW2004470041MaRDI QIDQ879227

Eva Lowen-Colebunders, A. Gerlo, Veerle Claes

Publication date: 8 May 2007

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

Full work available at URL: https://doi.org/10.1007/s10474-006-0518-6

zbMATH Keywords

epimorphismtopological constructmetrically generated theory\(T_0\) objectcowellpoweredness

Mathematics Subject Classification ID

Categorical methods in general topology (54B30) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Special categories (18B99) Epimorphisms, monomorphisms, special classes of morphisms, null morphisms (18A20)

Related Items (15)

Unnamed Item ⋮ Initially dense objects for metrically generated theories ⋮ Bicompletion of metrically generated constructs ⋮ Local metrically generated theories ⋮ Sober approach spaces are firmly reflective for the class of epimorphic embeddings ⋮ Uniqueness of completion for metrically generated constructs ⋮ Approach theory in a category: A study of compactness and Hausdorff separation ⋮ Constructing the sobrification of an approach space via bicompletion ⋮ Completion via nearness for metrically generated constructs ⋮ Spaces modelled by an algebra on \([0,\infty \) and their complete objects] ⋮ Complexity analysis via approach spaces ⋮ Unnamed Item ⋮ Bornologies and metrically generated theories ⋮ The Banaschewski compactification revisited ⋮ Cowellpoweredness and closure operators in categories of coarse spaces

Cites Work

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• On the representation of non-Archimedean objects
• Separation and epimorphisms in quasi-uniform spaces
• Asymmetry and bicompletion of approach spaces
• On epireflective subcategories of topological categories
• Metrically generated theories
• On complete objects in the category of T0 closure spaces
• Note on Epi in
• Epireflections in the category of $T_0$-spaces

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