Barycenters, pinnacle points, and denting points

Khurana, Surjit Singh

doi:10.1090/S0002-9947-1973-0318438-8

Barycenters, pinnacle points, and denting points
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Trans. Amer. Math. Soc. 180 (1973), 497-503 Request permission

Abstract:

Some properties of probability measures, on closed convex bounded sets in locally convex spaces, having barycenters are obtained. Also some geometric and measure-theoretic characterizations of pinnacle points are given, and a result about denting points is proved.

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