On the geometry of sets satisfying the sequence selection property

DOI10.2969/jmsj/06720721zbMath1326.14137arXiv1201.1669OpenAlexW2001826031MaRDI QIDQ2351880

Satoshi Koike, Laurentiu Paunescu

Publication date: 26 June 2015

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1201.1669

zbMATH Keywords

transversalitybi-Lipschitz homeomorphismsequence selection propertydirection set

Mathematics Subject Classification ID

Real-analytic and semi-analytic sets (14P15) Singularities of differentiable mappings in differential topology (57R45) Semi-analytic sets, subanalytic sets, and generalizations (32B20)

Related Items (5)

Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones ⋮ Multiplicity, regularity and blow-spherical equivalence of real analytic sets ⋮ Stabilisation of geometric directional bundle for a subanalytic set ⋮ Applications of the sequence selection property to bi-Lipschitz geometry ⋮ (SSP) geometry with directional homeomorphisms

Cites Work

• Unnamed Item
• On topological types of polynomial mappings
• The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms
• Directional properties of sets definable in o-minimal structures
• Tangents to an analytic variety
• Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces
• Proof of the gradient conjecture of R. Thom.

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