Opuscula Math. 36, no. 4 (2016), 471-479

Opuscula Mathematica

A remark on the intersections of subanalytic leaves

Maciej P. Denkowski

Abstract. 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.

Keywords: transversality conditions, subanalytic sets.

Mathematics Subject Classification: 32B20, 70H33.

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Cite this article as:
Maciej P. Denkowski, A remark on the intersections of subanalytic leaves, Opuscula Math. 36, no. 4 (2016), 471-479, http://dx.doi.org/10.7494/OpMath.2016.36.4.471

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