A structure theorem for semibounded sets in the reals

DOI10.2307/2275430zbMath0768.03019OpenAlexW2144694995MaRDI QIDQ4032861

Yaa'cov Peterzil

Publication date: 1 April 1993

Published in: Journal of Symbolic Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2275430

zbMATH Keywords

quantifier eliminationbounded setsemilinear setdefinability strengthadditive structures over the realssemibounded set

Mathematics Subject Classification ID

Model-theoretic algebra (03C60)

Related Items (16)

Reducts of some structures over the reals ⋮ Semi-bounded relations in ordered modules ⋮ Integration of positive constructible functions against Euler characteristic and dimension ⋮ Cell decomposition for semibounded \(p\)-adic sets ⋮ Definable Tietze extension property in o-minimal expansions of ordered groups ⋮ Product cones in dense pairs ⋮ Structure theorems in tame expansions of o-minimal structures by a dense set ⋮ Structure theorems for o-minimal expansions of groups ⋮ Reducts of \(p\)-adically closed fields ⋮ Coverings by open cells ⋮ Expansions of o-minimal structures by fast sequences ⋮ Fusing o-minimal structures ⋮ Locally injective maps in o-minimal structures without poles are surjective ⋮ Definable group extensions in semi-bounded o-minimal structures ⋮ Non-standard lattices and o-minimal groups ⋮ Cell decomposition and definable functions for weakp-adic structures

Cites Work

• On groups and fields definable in o-minimal structures
• Additive reducts of real closed fields

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