Various combinatorial equivalents are given to the Lebesgue state in archimedean lattice-ordered groups with order-unit. The proofs use piecewise linear functions on polyhedra with rational vertices.
The Lebesgue state of a unital abelian lattice-ordered group / V. Marra, D. Mundici. - In: JOURNAL OF GROUP THEORY. - ISSN 1433-5883. - 10:5(2007 Sep), pp. 655-684.
The Lebesgue state of a unital abelian lattice-ordered group
V. MarraPrimo
;
2007
Abstract
Various combinatorial equivalents are given to the Lebesgue state in archimedean lattice-ordered groups with order-unit. The proofs use piecewise linear functions on polyhedra with rational vertices.
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