Smooth functions in o-minimal structures

DOI10.1016/j.aim.2008.01.002zbMath1147.03018OpenAlexW2086667938MaRDI QIDQ2483177

Andreas Fischer

Publication date: 28 April 2008

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2008.01.002

zbMATH Keywords

Whitney topologysmooth functiondifferentiable manifoldreal exponential field

Mathematics Subject Classification ID

(C^infty)-functions, quasi-analytic functions (26E10) Real algebraic and real-analytic geometry (14P99) Model theory of ordered structures; o-minimality (03C64)

Related Items

Topological groups, \(\mu\)-types and their stabilizers ⋮ Approximation of singular semialgebraic sets by smooth ones with respect to the Hausdorff metric ⋮ Regular projections and regular covers in o-minimal structures ⋮ Volumes of definable sets in o-minimal expansions and affine GAGA theorems ⋮ Semialgebraic version of Whitney's extension theorem ⋮ Transversality of smooth definable maps in O-minimal structures ⋮ On smooth locally o-minimal functions ⋮ Approximations in globally subanalytic and Denjoy-Carleman classes ⋮ o-minimal analytic separation of sets in dimension 2 ⋮ Tempered distributions and Schwartz functions on definable manifolds

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