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arXiv · 1812.04830

Lexicographic cones and the ordered projective tensor product

Marten Wortel
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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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Marten Wortel. 2018-12-12. Lexicographic cones and the ordered projective tensor product. https://arxiv.org/abs/1812.04830

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