Grothendieck rings of o-minimal expansions of ordered Abelian groups

DOI10.1016/j.jalgebra.2004.10.032zbMath1094.03026arXivmath/0505341OpenAlexW2071181370MaRDI QIDQ2497443

Masaru Kageyama, Fujita Masato

Publication date: 4 August 2006

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0505341

zbMATH Keywords

Grothendieck ringso-minimal structuresbounded Euler characteristic

Mathematics Subject Classification ID

Applications of logic to group theory (20A15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Model theory of ordered structures; o-minimality (03C64)

Related Items

Integration of positive constructible functions against Euler characteristic and dimension, Generalized Euler characteristic in power-bounded T-convex valued fields, The surjectivity and the continuity of definable functions in some definably complete locally o-minimal expansions and the Grothendieck ring of almost o-minimal structures, Integration in algebraically closed valued fields, Definable sets up to definable bijections in Presburger groups

Cites Work

• Grothendieck rings of Laurent series fields.
• Definable sets, motives and 𝑝-adic integrals
• Grothendieck Rings of ℤ-Valued Fields
• Combinatorics with Definable Sets: Euler Characteristics and Grothendieck Rings
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