Let 
and 
be a complete CAT(
) space whose diameter smaller than 
. It is shown that if 
is a nonempty compact convex subset of 
then is the closed convex hull of its set of extreme points. This is an extension of the Krein-Milman theorem to the general setting of CAT() spaces.
On the Krein-Milman theorem in CAT(k) spaces
Panyanak, Bancha
Abstract
carpathian_2018_34_3_401_404_abstractFull PDF
carpathian_2018_34_3_401_404
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