
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.