Characterization of Useful Topologies in Mathematical Utility Theory by Countable Chain Conditions
نویسندگان
چکیده
Under the additional assumption of complete regularity, we furnish a simple characterization all topologies such that every continuous total preorder is representable by utility function. In particular, prove completely regular topology satisfies property if, and only it separable linearly ordered collection clopen sets countable. Since not restrictive to refer when dealing with this kind problem, is, as far are concerned, simplest sort available in literature. All famous representation theorems corollaries our result.
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ژورنال
عنوان ژورنال: Axioms
سال: 2022
ISSN: ['2075-1680']
DOI: https://doi.org/10.3390/axioms11050195