On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
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Publication:878146
DOI10.1007/s11083-006-9047-8zbMath1117.06002OpenAlexW2094026360WikidataQ50907595 ScholiaQ50907595MaRDI QIDQ878146
Publication date: 26 April 2007
Published in: Order (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11083-006-9047-8
Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Continuous lattices and posets, applications (06B35) Total orders (06A05)
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Richter-Peleg multi-utility representations of preorders ⋮ A characterization of the generalized optimal choice set through the optimization of generalized weak utilities ⋮ Conditional extensions of fuzzy preorders ⋮ Continuous representations of interval orders by means of two continuous functions ⋮ Complements and consistent closures ⋮ Continuous order-preserving functions for all kind of preorders ⋮ Normally preordered spaces and utilities ⋮ Utility representation theorems for Debreu separable preorders ⋮ Continuous multi-utility representations of preorders ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ Upper semicontinuous representations of interval orders ⋮ Splitting metrics by \(T_0\)-quasi-metrics ⋮ Continuous utility representation theorems in arbitrary concrete categories ⋮ Topological Closure of Translation Invariant Preorders ⋮ A generalization of Arrow's lemma on extending a binary relation ⋮ On the extension of binary relations in economic and game theories ⋮ On the jointly continuous utility representation problem
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