✦ LIBER ✦

Point simpliciality in Choquet theory on nonmetrizable compact spaces

✍ Scribed by Michal Kraus

Publisher: Elsevier Science
Year: 2011
Tongue: French
Weight: 146 KB
Volume: 135
Category: Article
ISSN: 0007-4497
DOI: 10.1016/j.bulsci.2011.01.002

No coin nor oath required. For personal study only.

✦ Synopsis

Let H be a function space on a compact space K. The set of simpliciality of H is the set of all points of K for which there exists a unique maximal representing measure. Properties of this set were studied by M. Bačák in the paper Point simpliciality in Choquet representation theory, Illinois J. Math. 53 (2009) 289-302, mainly for K metrizable. We study properties of the set of simpliciality for K nonmetrizable.

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