Mathematics > Algebraic Geometry
[Submitted on 28 Apr 2017 (v1), last revised 19 Aug 2017 (this version, v2)]
Title:Tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. Appendix by Anne Pichon and Walter D. Neumann
View PDFAbstract:We prove that tangent cones of Lipschitz normally embedded sets are Lipschitz normally embedded. We also extend to real subanalytic sets the notion of reduced tangent cone and we show that subanalytic Lipschitz normally embedded sets have reduced tangent cones. In particular, we get that Lipschitz normally embedded complex analytic sets have reduced tangent cones.
Submission history
From: Jose Edson Sampaio [view email][v1] Fri, 28 Apr 2017 18:59:22 UTC (433 KB)
[v2] Sat, 19 Aug 2017 19:55:07 UTC (454 KB)
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