The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms
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Publication:848130
DOI10.5802/aif.2496zbMath1184.14086arXivmath/0504005OpenAlexW2327885024MaRDI QIDQ848130
Laurentiu Paunescu, Satoshi Koike
Publication date: 22 February 2010
Published in: Annales de l'Institut Fourier (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/math/0504005
Real-analytic and semi-analytic sets (14P15) Semi-analytic sets, subanalytic sets, and generalizations (32B20)
Related Items (6)
Bi-Lipschitz homeomorphic subanalytic sets have bi-Lipschitz homeomorphic tangent cones ⋮ Stabilisation of geometric directional bundle for a subanalytic set ⋮ Directional properties of sets definable in o-minimal structures ⋮ 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
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