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(SSP) geometry with directional homeomorphisms

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Publication:5246754
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DOI10.5427/jsing.2015.13izbMath1329.14105arXiv1510.06819OpenAlexW2329455426MaRDI QIDQ5246754

Laurentiu Paunescu, Satoshi Koike

Publication date: 22 April 2015

Published in: Journal of Singularities (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1510.06819


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 (2)

Stabilisation of geometric directional bundle for a subanalytic set ⋮ Applications of the sequence selection property to bi-Lipschitz geometry




Cites Work

  • The directional dimension of subanalytic sets is invariant under bi-Lipschitz homeomorphisms
  • Differential invariance of multiplicity on analytic varieties
  • On the geometry of sets satisfying the sequence selection property
  • Directional properties of sets definable in o-minimal structures




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