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math.FA2022
On the geometry of an order unit space
Anil Kumar Karn
We introduce the notion of with a head in a non-zero real vector space. We prove that skeletons with heads describe order unit spaces geometrically. Next, we co…
math.FA2022
Centre of a compact convex set
Anil Kumar Karn
We introduce the notion centre of a convex set and study the space of continuous affine functions on a compact convex set with a centre. We show that these spaces are precisely the…