The Haar theorem for lattice-ordered abelian groups with order-unit
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Publication:934147
DOI10.3934/dcds.2008.21.537zbMath1154.28007OpenAlexW2319328615MaRDI QIDQ934147
Publication date: 29 July 2008
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcds.2008.21.537
Integration of real functions of several variables: length, area, volume (26B15) Polyhedral manifolds (52B70) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Integration theory via linear functionals (Radon measures, Daniell integrals, etc.), representing set functions and measures (28C05)
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Computing on Lattice-Ordered Abelian Groups ⋮ RATIONAL POLYHEDRA AND PROJECTIVE LATTICE-ORDERED ABELIAN GROUPS WITH ORDER UNIT ⋮ Classifying GL\((n,\mathbb{Z})\)-orbits of points and rational subspaces ⋮ Idempotent endomorphisms of free MV-algebras and unital \(\ell\)-groups ⋮ Complete and computable orbit invariants in the geometry of the affine group over the integers ⋮ Classifying orbits of the affine group over the integers ⋮ States in Łukasiewicz logic correspond to probabilities of rational polyhedra ⋮ The Morita-equivalence between MV-algebras and lattice-ordered abelian groups with strong unit. ⋮ Confluence and combinatorics in finitely generated unital lattice-ordered abelian groups ⋮ Germinal theories in Łukasiewicz logic ⋮ Invariant Measure Under the Affine Group Over ⋮ Finite axiomatizability in Łukasiewicz logic ⋮ A Geometric Approach to MV-Algebras ⋮ Interpretation of De Finetti coherence criterion in Łukasiewicz logic ⋮ Recognizing the Farey-Stern-Brocot AF algebra ⋮ Measures Induced by Units
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