Representable topologies and locally connected spaces

DOI10.1016/j.topol.2006.05.011zbMath1117.54044OpenAlexW2001374754MaRDI QIDQ886293

Esteban Induráin, Juan Carlos Candeal, Ghanshyam B. Mehta, María Jesús Campión

Publication date: 26 June 2007

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2006.05.011

zbMATH Keywords

continuous numerical representationslocally connected separable spacesrepresentable topologiestotally preordered structures

Mathematics Subject Classification ID

Partial orders, general (06A06) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Utility theory (91B16)

Related Items (8)

Continuous order-preserving functions for all kind of preorders ⋮ The structure of useful topologies ⋮ Order representability in groups and vector spaces ⋮ Open Questions in Utility Theory ⋮ Topologies for the continuous representability of all continuous total preorders ⋮ On an extension of a theorem of Eilenberg and a characterization of topological connectedness ⋮ Preorderable topologies and order-representability of topological spaces ⋮ Topologies generated by nested collections

Cites Work

• Utility functions on locally connected spaces
• Some results on the existence of utility functions on path connected spaces
• Fundamentals of contemporary set theory
• Some results on representation and extension of preferences
• The non-existence of a utility function and the structure of non-representable preference relations
• Representations of preference orderings
• Hereditary normality and souslin lines
• On the structure of completely useful topologies
• Some utility theorems on inductive limits of preordered topological spaces
• Souslin's Conjecture
• Countable Paracompactness and Souslin's Problem
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