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:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Minguzzi - Normally preordered spaces and utilities - Order 30 (2013) 135-150.pdf
Accesso chiuso
Descrizione: articolo
Tipologia:
Pdf editoriale (Version of record)
Licenza:
Tutti i diritti riservati
Dimensione
378.29 kB
Formato
Adobe PDF
|
378.29 kB | Adobe PDF | Richiedi una copia |
I documenti in FLORE sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
