Directional properties of sets definable in o-minimal structures
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Publication:2445519
DOI10.5802/aif.2821zbMath1390.14181arXiv1003.0244OpenAlexW2963149324MaRDI QIDQ2445519
Masahiro Shiota, Laurentiu Paunescu, Satoshi Koike, Ta Lê Loi
Publication date: 14 April 2014
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1003.0244
Real-analytic and semi-analytic sets (14P15) Semialgebraic sets and related spaces (14P10) Singularities of differentiable mappings in differential topology (57R45) Semi-analytic sets, subanalytic sets, and generalizations (32B20)
Related Items (7)
Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones ⋮ Łojasiewicz inequalities in o-minimal structures ⋮ Multiplicity, regularity and Lipschitz geometry of real analytic hypersurfaces ⋮ Stabilisation of geometric directional bundle for a subanalytic set ⋮ Applications of the sequence selection property to bi-Lipschitz geometry ⋮ (SSP) geometry with directional homeomorphisms ⋮ On the geometry of sets satisfying the sequence selection property
Cites Work
- The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms
- Densité des ensembles sous-analytiques. (On the density of subanalytic sets)
- Geometry of subanalytic and semialgebraic sets
- Łojasiewicz inequalities for sets definable in the structure \({\mathbb R}_{\text{exp}}\)
- Geometric categories and o-minimal structures
- Équisingularité réelle : nombres de Lelong et images polaires
- Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
- Model completeness results for expansions of the ordered field of real numbers by restricted Pfaffian functions and the exponential function
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