Directed complete poset models of T1 spaces

DOI10.1017/S0305004116000888zbMath1469.06012MaRDI QIDQ4600751

Dongsheng Zhao, Xiaoyong Xi

Publication date: 12 January 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Lower separation axioms ((T_0)--(T_3), etc.) (54D10) Topological lattices (06B30)

Related Items (16)

On some topological properties of dcpo models of \(T_1\) topological spaces ⋮ Some results on poset models consisting of compact saturated subsets ⋮ Continuous prequantale models of \(T_1\) topological semigroups ⋮ Weak domain models of \(T_1\) spaces ⋮ \(C_\sigma\)-unique dcpos and non-maximality of the class of dominated dcpos regarding \(\Gamma\)-faithfulness ⋮ A new dcpo whose Scott topology is well-filtered but not sober ⋮ The Xi-Zhao model of \(T_1\)-spaces ⋮ On \(P\)-sober spaces ⋮ The Baire theorem, an analogue of the Banach fixed point theorem and attractors in \(T_1\) compact spaces ⋮ Sober Scott spaces are not always co-sober ⋮ On topological spaces that have a bounded complete dcpo model ⋮ Lower topological algebraic domain models of topological spaces ⋮ Lower topological poset models of \(T_1\) topological spaces ⋮ Unnamed Item ⋮ Dcpo models of Choquet complete and Baire spaces ⋮ Topological semigroups and their prequantale models

Cites Work

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• Algebraic models for \(T_1\)-spaces
• Dcpo-completion of posets
• A computational model for metric spaces
• Ideal models of spaces.
• The regular spaces with countably based models.
• Order environments of topological spaces
• Completion of a Construction of Johnstone
• Spaces of maximal points
• Continuous Lattices and Domains

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