Algebraic models for \(T_1\)-spaces
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Publication:536048
DOI10.1016/j.topol.2011.01.014zbMath1216.54002OpenAlexW2082247837MaRDI QIDQ536048
Publication date: 16 May 2011
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2011.01.014
Stone dualityzero-dimensionalScott topologymodel\(T_1\)-spacealgebraic posetcampdampfilter-complete basemaximal point spaceminimal base
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Categorical methods in general topology (54B30) Subspaces in general topology (54B05) Continuous lattices and posets, applications (06B35)
Related Items
Continuous prequantale models of \(T_1\) topological semigroups, Maximal point spaces of dcpos satisfying the Lawson condition, Spectral-like duality for distributive Hilbert algebras with infimum, The Xi-Zhao model of \(T_1\)-spaces, Directed complete poset models of T1 spaces, On topological spaces that have a bounded complete dcpo model, Lower topological algebraic domain models of topological spaces, Topological semigroups and their prequantale models
Cites Work
- A computational model for metric spaces
- General Stone duality.
- Ideal models of spaces.
- The regular spaces with countably based models.
- Domain representability and the Choquet game in Moore and BCO-spaces
- Open continuous mappings of spaces having bases of countable order
- Moore-closed spaces, completeness and centered bases
- Spaces of maximal points
- Continuous Lattices and Domains
- Characterizations of Developable Topological Spaces
- Domain-representable spaces
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