Wortel, Marten2020-02-262019-08Wortel M. (2019) Lexicographic Cones and the Ordered Projective Tensor Product. In: Buskes G. et al. (eds) Positivity and Noncommutative Analysis. Trends in Mathematics. Birkhäuser, Cham.2297-021510.1007/978-3-030-10850-2_30http://hdl.handle.net/2263/73550We 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.en© Springer Nature Switzerland AG 2019. The original publication is available at : https://www.springer.com/series/4961.Lexicographic coneFinite-dimensional vector latticesOrdered projective tensor productPostprint Article