Continuous representability of complete preorders on the space of upper-continuous capacities
DOI:
https://doi.org/10.4995/agt.2001.3012Keywords:
Upper-continuous capacity, Compact metric space, Weak topology, Continuous utility functionAbstract
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.
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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.
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