A simple characterization of the existence of upper semicontinuous order-preserving functions
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Publication:6088191
DOI10.1007/s40505-023-00251-9zbMath1530.91184MaRDI QIDQ6088191
Publication date: 13 December 2023
Published in: Economic Theory Bulletin (Search for Journal in Brave)
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16) Total orders (06A05)
Cites Work
- A topological characterization of the existence of non-empty choice sets
- Utility representation theorems for Debreu separable preorders
- Characterization of the existence of semicontinuous weak utilities for binary relations
- Preorderable topologies and order-representability of topological spaces
- Topological spaces for which every continuous total preorder can be represented by a continuous utility function
- A remark on a utility representation theorem of Rader
- Some results on representation and extension of preferences
- On the existence of greatest elements and maximizers
- Upper semicontinuous representations of interval orders
- On a strong continuous analogue of the Szpilrajn theorem and its strengthening by Dushnik and Miller
- On continuous multi-utility representations of semi-closed and closed preorders
- On the structure of completely useful topologies
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