A compact space is not always \(SI\)-compact

DOI10.1216/RMJ.2022.52.2041OpenAlexW4313233183MaRDI QIDQ2678279

Zhengmao He, Kai Yun Wang

Publication date: 9 January 2023

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/journals/rocky-mountain-journal-of-mathematics/volume-52/issue-6/A-COMPACT-SPACE-IS-NOT-ALWAYS-SI-COMPACT/10.1216/rmj.2022.52.2041.full

zbMATH Keywords

Scott topologyquasicontinuous domaincompact saturated set\(SI\)-compactnessT-lattice

Mathematics Subject Classification ID

Topological spaces and generalizations (closure spaces, etc.) (54A05) Continuous lattices and posets, applications (06B35) Topological lattices (06B30)

Related Items (1)

On co-sober spaces

Cites Work

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• On topologies defined by irreducible sets
• Lattice-equivalence of topological spaces
• The strength of prime separation, sobriety, and compactness theorems
• Categories of locally hypercompact spaces and quasicontinuous posets
• On well-filtered spaces and ordered sets
• A note on coherence of dcpos
• Completion of a Construction of Johnstone
• Continuous Lattices and Domains
• Non-Hausdorff Topology and Domain Theory
• A complete Heyting algebra whose Scott space is non-sober

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