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arXiv · 1106.4457

Normally preordered spaces and utilities

E. Minguzzi
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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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E. Minguzzi. 2011-08-13. Normally preordered spaces and utilities. https://doi.org/10.1007/s11083-011-9230-4

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