Smooth approximations and their applications to homotopy types

Oleksandra Khokhliuk, Sergiy Maksymenko

Let $M,N$ the be smooth manifolds, ${\mathcal{C}}^r(M,N)$ the space of $C^r$ maps endowed with weak $C^r$ Whitney topology, and $\mathcal{B}\subset {\mathcal{C}}^r(M,N)$ an…