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

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.

Issue

Section

Articles