Domain-representable spaces
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Publication:5469398
DOI10.4064/fm189-3-3zbMath1090.54028OpenAlexW2024032830MaRDI QIDQ5469398
Harold R. Bennett, David J. Lutzer
Publication date: 18 May 2006
Published in: Fundamenta Mathematicae (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4064/fm189-3-3
Baire spaceSorgenfrey linedomainordinal spaceČech-complete spacecontinuous dcpoMichael lineScott domain\(G_\delta\)-subspaceChoquet-complete space
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Baire category, Baire spaces (54E52) Continuous lattices and posets, applications (06B35) Ordered topological structures (06F30)
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Any \(T_1\) space has a continuous poset model ⋮ Maximal point spaces of dcpos satisfying the Lawson condition ⋮ From subcompact to domain representable ⋮ Unnamed Item ⋮ Unnamed Item ⋮ On computational environments of topological spaces ⋮ Domain representability and the Choquet game in Moore and BCO-spaces ⋮ Algebraic models for \(T_1\)-spaces ⋮ The Banach-Mazur game and domain theory ⋮ There is no domain representable dense proper subsemigroup of a topological group ⋮ Subcompactness and domain representability in GO-spaces on sets of real numbers ⋮ Dcpo models of Choquet complete and Baire spaces ⋮ Domain representability of certain function spaces ⋮ Coding strategies, the Choquet game, and domain representability
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