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Normally Preordered Spaces and Utilities

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Abstract

In applications it is useful to know whether a topological preordered space is normally preordered. It is proved that every k ω -space equipped with a closed preorder is a normally preordered space. Furthermore, it is proved that second countable regularly preordered spaces are perfectly normally preordered and admit a countable utility representation.

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  1. Dipartimento di Matematica Applicata “G. Sansone”, Università degli Studi di Firenze, Via S. Marta 3, 50139, Firenze, Italy

    Ettore Minguzzi

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  1. Ettore Minguzzi
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Minguzzi, E. Normally Preordered Spaces and Utilities. Order 30, 137–150 (2013). https://doi.org/10.1007/s11083-011-9230-4

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