Zbigniew Jelonek (Institute of Mathematics of the Academy of Sciences of Poland - IMPAN)

Friday, June 28th, 2019.  4:00 p.m., Room 4-001.



Title: Manifolds with unique embedding.


Abstract: I show that if X, Y are smooth, compact k-dimensional submanifolds of Rn
and 2k + 2 ≤ n, then each diffeomorphism φ : X → Y can be extended to
diffeomorphism Φ : Rn → Rn which is tame. Moreover, if X, Y are real analytic
manifolds and the mapping φ is analytic, then we can choose the mapping Φ to
be analytic, too.