On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller

DOI10.1007/s11083-005-9022-9zbMath1097.06005OpenAlexW4246272821MaRDI QIDQ2494391

Gianni Bosi, Gerhard Herden

Publication date: 26 June 2006

Published in: Order (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11083-005-9022-9

zbMATH Keywords

continuous total refinementweakly continues partial order

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Continuous lattices and posets, applications (06B35) Total orders (06A05)

Related Items (13)

Richter-Peleg multi-utility representations of preorders ⋮ On a possible continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller ⋮ Conditional extensions of fuzzy preorders ⋮ A simple characterization of the existence of upper semicontinuous order-preserving functions ⋮ Continuous order-preserving functions for all kind of preorders ⋮ Continuous multi-utility representations of preorders ⋮ Continuity and Continuous Multi-utility Representations of Nontotal Preorders: Some Considerations Concerning Restrictiveness ⋮ Splitting metrics by \(T_0\)-quasi-metrics ⋮ On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller ⋮ Existence of order-preserving functions for nontotal fuzzy preference relations under decisiveness ⋮ Maximal compatible extensions of partial orders ⋮ A generalization of Arrow's lemma on extending a binary relation ⋮ On the extension of binary relations in economic and game theories

Cites Work

• Semicontinuous extension of a partial order
• Continuous extension of preferences
• Upper semicontinuous extensions of binary relations
• On the continuous analogue of the Szpilrajn theorem. I
• On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
• Partially Ordered Sets
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