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
MINGUZZI, ETTORE
2013-01-01
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:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
