Lipschitz stratifications in o-minimal structures

DOI10.24033/ASENS.2286zbMath1353.32011OpenAlexW2599018929MaRDI QIDQ2811183

Nhan T. Nguyen, Guillaume Valette

Publication date: 10 June 2016

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://smf4.emath.fr/en/Publications/AnnalesENS/4_49/html/ens_ann-sc_49_399-421.php

zbMATH Keywords

o-minimal structuresdefinable setspreparation theoremLipschitz stratifications

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Analytic subsets of affine space (32B15) Stratifications in topological manifolds (57N80)

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Linear isoperimetric inequality for normal and integral currents in compact subanalytic sets ⋮ Whitney, Kuo-Verdier and Lipschitz stratifications for the surfaces \(y^{a}=z^{b}x^{c}+x^{d}\) ⋮ Lipschitz stratification of complex hypersurfaces in codimension 2 ⋮ Stratifications, equisingularity and triangulation ⋮ On Milnor’s fibration theorem and its offspring after 50 years ⋮ Hölder-Łojasiewicz inequalities for volumes of tame objects ⋮ On some properties of the Łojasiewicz exponent ⋮ Cohomology of flat currents on definable pseudomanifolds ⋮ Stratification Theory ⋮ Hensel minimality I

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