Categories of locally hypercompact spaces and quasicontinuous posets

DOI10.1007/s10485-018-9536-0zbMath1441.06003OpenAlexW2887953344WikidataQ129384196 ScholiaQ129384196MaRDI QIDQ1794269

Marcel Erné

Publication date: 15 October 2018

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

Full work available at URL: https://doi.org/10.1007/s10485-018-9536-0

zbMATH Keywords

footcorewell-filtered spacequasicontinuous posetquasiuniformity(locally) hypercompact space(locally) supercompact space(strictly, weakly) sober space

Mathematics Subject Classification ID

Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Continuous lattices and posets, applications (06B35) Local compactness, (sigma)-compactness (54D45) Axiom of choice and related propositions (03E25) Categories of topological spaces and continuous mappings (18F60)

Related Items (19)

Some open problems on well-filtered spaces and sober spaces ⋮ Quasi-liminf convergence in posets ⋮ \(s_2\)-quasialgebraic posets ⋮ Consistent disjunctive sequent calculi and Scott domains ⋮ Non-reflective categories of some kinds of weakly sober spaces ⋮ The strength of prime separation, sobriety, and compactness theorems ⋮ \( \mathcal{Z} \)-quasidistributive and \(\mathcal{Z} \)-meet-distributive posets ⋮ First countability, \( \omega \)-well-filtered spaces and reflections ⋮ A compact space is not always \(SI\)-compact ⋮ On \(T_0\) spaces determined by well-filtered spaces ⋮ Coincidence of the upper Vietoris topology and the Scott topology ⋮ On H-sober spaces and H-sobrifications of \(T_0\) spaces ⋮ \textbf{K}-reflections of product spaces ⋮ A direct approach to \(K\)-reflections of \(T_0\) spaces ⋮ On some kinds of weakly sober spaces ⋮ On topological Rudin's lemma, well-filtered spaces and sober spaces ⋮ First-countability, \( \omega \)-Rudin spaces and well-filtered determined spaces ⋮ On almost sober spaces ⋮ Continuity and directed completion of topological spaces

Cites Work

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• Über den Ultrafilterraum
• Axiom of choice
• An upper power domain construction in terms of strongly compact sets
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