Continuous representability of complete preorders on the space of upper-continuous capacities

Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)

Archivos

3012-8428-1-SM.pdf (174.73 KB)

Fecha

2001-04-01

Autores

Directores

Editores

Otras autorías

Unidades organizativas

Compartir

Handle

https://riunet.upv.es/handle/10251/81907

Cita bibliográfica

Bosi, G.; Isler, R. (2001). Continuous representability of complete preorders on the space of upper-continuous capacities. Applied General Topology. 2(1):27-31. https://doi.org/10.4995/agt.2001.3012

Titulación

Resumen

[EN] Given a compact metric space (X, d), and its Borel σ-algebra Σ, we discuss the existence of a (semi)continuous utility function U for a complete preorder ≤ on a subset M’(X) of the space M(X) of all upper-continuous capacities on Σ, endowed with the weak topology.

Palabras clave

Upper-continuous capacity, Compact metric space, Weak topology, Continuous utility function

Fuente

Applied General Topology issn: 1576-9402

DOI

10.4995/agt.2001.3012

Versión del editor

https://doi.org/10.4995/agt.2001.3012

Enlaces relacionados

URL

Colecciones

Applied General Topology - Vol 02, No 1 (2001)