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A remark on the intersections of subanalytic leaves

Denkowski M. P.

Opuscula Mathematica

2016

Vol. 36, no. 4

471--479

We discuss a new sufficient condition - weaker than the usual transversality condition - for the intersection of two subanalytic leaves to be smooth. It involves the tangent cone of the intersection and, as typically non-transversal, it is of interest in analytic geometry or dynamical systems. We also prove an identity principle for real analytic manifolds and subanalytic functions.