Strict \(\mathcal{C}^p\)-triangulations -- a new approach to desingularization
DOI10.4171/JEMS/1335zbMATH Open1544.32015MaRDI QIDQ6582317
Publication date: 2 August 2024
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
semialgebraic seto-minimal structure\(\mathcal{C}^p\)-triangulationstrict \(\mathcal{C}^p\)-triangulation
Modifications; resolution of singularities (complex-analytic aspects) (32S45) Semialgebraic sets and related spaces (14P10) Semi-analytic sets, subanalytic sets, and generalizations (32B20) Model theory of ordered structures; o-minimality (03C64) Triangulating (57R05) Triangulation and topological properties of semi-analytic andsubanalytic sets, and related questions (32B25)
Cites Work
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- Lipschitz cell decomposition in o-minimal structures. I.
- An o-minimal structure which does not admit \(C^\infty\) cellular decomposition
- Volume growth and entropy
- \(C^ k\)-resolution of semialgebraic mappings, addendum to volume growth and entropy
- Semianalytic and subanalytic sets
- Triangulation of subanalytic sets and proper subanalytic maps
- Geometry of subanalytic and semialgebraic sets
- \(K\)-subanalytic rectilinearization and uniformization
- Strict \(C^1\)-triangulations in o-minimal structures
- Differentiable approximation of continuous semialgebraic maps
- Projections of semi-analytic sets
- O-minimal version of Whitney's extension theorem
- Definable versions of theorems by Kirszbraun and Helly
- -parametrization in O-minimal Structures
- C1-triangulations of semialgebraic sets
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