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The Lebesgue state of a unital abelian lattice-ordered group.

Authors :
Marra, Vincenzo
Mundici, Daniele
Guralnick, R. M.
Source :
Journal of Group Theory; Sep2007, Vol. 10 Issue 5, p655-684, 30p
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
14335883
Volume :
10
Issue :
5
Database :
Complementary Index
Journal :
Journal of Group Theory
Publication Type :
Academic Journal
Accession number :
26629795
Full Text :
https://doi.org/10.1515/JGT.2007.049