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

Gianni Bosi; Romano Isler

doi:10.4995/agt.2001.3012

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

Authors

Gianni Bosi Università di Trieste
Romano Isler Università di Trieste

DOI:

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

Keywords:

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

Abstract

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.

Downloads

Download data is not yet available.

Author Biography

Gianni Bosi, Università di Trieste

Dipartimento di Matematica Applicata

Downloads

PDF (Español (España))

Published

2001-04-01

How to Cite

[1]

G. Bosi and R. Isler, “Continuous representability of complete preorders on the space of upper-continuous capacities”, Appl. Gen. Topol., vol. 2, no. 1, pp. 27–31, Apr. 2001.