Opuscula Math. 36, no. 4 (2016), 471-479
http://dx.doi.org/10.7494/OpMath.2016.36.4.471
Opuscula Mathematica
A remark on the intersections of subanalytic leaves
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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- Maciej P. Denkowski
- Jagiellonian University, Faculty of Mathematics and Computer Science, Institute of Mathematics, Łojasiewicza 6, 30-348 Kraków, Poland
- Communicated by Yoshishige Haraoka.
- Received: 2015-09-09.
- Revised: 2016-01-25.
- Accepted: 2016-02-05.
- Published online: 2016-04-01.
