Useful topologies and separable systems
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Publication:4528528
DOI10.4995/agt.2000.3024zbMath0998.54017OpenAlexW233613730MaRDI QIDQ4528528
Andreas Pallack, Gerhard Herden
Publication date: 25 November 2002
Published in: Applied General Topology (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4995/agt.2000.3024
weak topologycompletely regular topologynormal topologycountably bounded linear preordercountably bounded topologyshort topology
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Total orders (06A05)
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Unified representability of total preorders and interval orders through a single function: the lattice approach ⋮ On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller ⋮ The Continuous Representation Property in Utility Theory ⋮ Continuous order-preserving functions for all kind of preorders ⋮ A simple characterization of useful topologies in mathematical utility theory ⋮ The structure of useful topologies ⋮ 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 ⋮ Continuous utility representation theorems in arbitrary concrete categories ⋮ Utility functions on locally connected spaces ⋮ The existence of utility functions for weakly continuous preferences on a Banach space ⋮ Topologies for the continuous representability of all continuous total preorders ⋮ Preorderable topologies and order-representability of topological spaces ⋮ Topologies generated by nested collections
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