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Lexicographic cones and the ordered projective tensor product (1812.04830v1)
Published 12 Dec 2018 in math.FA
Abstract: We introduce lexicographic cones, a method of assigning an ordered vector space $\Lex(S)$ to a poset $S$, generalising the standard lexicographic cone. These lexicographic cones are then used to prove that the projective tensor cone of two arbitrary cones is a cone, and to find a new characterisation of finite-dimensional vector lattices.
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