Preorderable topologies and order-representability of topological spaces
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Publication:1032938
DOI10.1016/j.topol.2009.01.018zbMath1178.54015OpenAlexW2030329285MaRDI QIDQ1032938
María Jesús Campión, Juan Carlos Candeal, Esteban Induráin
Publication date: 5 November 2009
Published in: Topology and its Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.topol.2009.01.018
order-representability properties on topological spacesorderability properties on topological spacestopologies induced by a total preorder
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Total orders (06A05)
Related Items (13)
The Continuous Representation Property in Utility Theory ⋮ A simple characterization of the existence of upper semicontinuous order-preserving functions ⋮ Continuous order-preserving functions for all kind of preorders ⋮ The structure of useful topologies ⋮ Order representability in groups and vector spaces ⋮ The Existence and the Non-existence of Utility Functions in Order-Theoretic, Algebraic and Topological Environments ⋮ Open Questions in Utility Theory ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ Topologies for the continuous representability of all continuous total preorders ⋮ Fuzzy topologies generated by fuzzy relations ⋮ On an extension of a theorem of Eilenberg and a characterization of topological connectedness ⋮ Unnamed Item ⋮ Topologies generated by nested collections
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