Computing o-minimal topological invariants using differential topology

DOI10.1090/S0002-9947-06-04220-6zbMath1108.03046OpenAlexW1545606697MaRDI QIDQ3420275

Sergei Starchenko, Yaa'cov Peterzil

Publication date: 1 February 2007

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-06-04220-6

zbMATH Keywords

o-minimalitydefinable continuous functiondefinable manifoldstorsion point problem

Mathematics Subject Classification ID

Differential topology (57R99) Applications of model theory (03C98) Model theory of ordered structures; o-minimality (03C64)

Related Items (3)

Definable continuous mappings and Whyburn’s conjecture ⋮ Generalized Euler characteristic in power-bounded T-convex valued fields ⋮ Strongly minimal groups in o-minimal structures

Cites Work

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• On groups and fields definable in o-minimal structures
• Groups of dimension two and three over o-minimal structures
• Euler characteristic in semialgebraic and other o-minimal groups
• Geometry of subanalytic and semialgebraic sets
• Intersection theory for o-minimal manifolds
• Transfer methods for o-minimal topology
• Density of Morse functions on sets definable in o-minimal structures
• Complex analytic geometry and analytic-geometric categories
• Morse Theory. (AM-51)
• Differential Topology
• An open mapping theorem for o-minimal structures
• Definable Compactness and Definable Subgroups of o-Minimal Groups
• A fixed point theorem for o‐minimal structures
• Definably simple groups in o-minimal structures
• DEFINABLY COMPACT ABELIAN GROUPS

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