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math.AG2012★ 2 cited
A'Campo curvature bumps and the Dirac phenomenon near a singular point
S. Koike, T-C. Kuo, L. Paunescu
The level curves of an analytic function germ almost always have bumps at unexpected points near the singularity. This profound discovery of N. A'Campo is fully explored in this pa…
math.AG2012
On the Geometry of sets satisfying the Sequence Selection Property
Satoshi Koike, Laurentiu Paunescu
In this paper we study fundamental directional properties of sets under the assumption of condition (SSP) (introduced in a previous paper). We show several transversality theorems…