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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.
Received: 2006-11-26
Revised: 2007-01-04
Published Online: 2007-09-19
Published in Print: 2007-09-19
© Walter de Gruyter