Strict \(C^1\)-triangulations in o-minimal structures

DOI10.12775/TMNA.2018.033zbMath1423.32011OpenAlexW2883222042MaRDI QIDQ1741799

Wiesław Pawłucki, Małgorzata Czapla

Publication date: 7 May 2019

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.tmna/1532484293

zbMATH Keywords

triangulation\(C^1\)-mappingo-minimal structure

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions (32B25)

Related Items (1)

Smooth Approximations in PL Geometry

Cites Work

• Definable triangulations with regularity conditions
• Verdier and strict Thom stratifications in o-minimal structures
• O-minimal version of Whitney's extension theorem
• Whitney's extension theorem in o-minimal structures
• Invariance of regularity conditions under definable, locally Lipschitz, weakly bi-Lipschitz mappings
• C1-triangulations of semialgebraic sets
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