In applications it is useful to know whether a topological preordered space is normally preordered. It is proved that every kω-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.
Normally preordered spaces and utilities / Ettore Minguzzi. - In: ORDER. - ISSN 0167-8094. - STAMPA. - 30:(2013), pp. 137-150. [10.1007/s11083-011-9230-4]
Normally preordered spaces and utilities
MINGUZZI, ETTORE
2013
Abstract
In applications it is useful to know whether a topological preordered space is normally preordered. It is proved that every kω-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.File in questo prodotto:
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