Smooth approximations and their applications to homotopy types
Let $M, N$ the be smooth manifolds, $\mathcal{C}^{r}(M,N)$ the space of ${C}^{r}$ maps endowed with the corresponding weak Whitney topology, and $\mathcal{B} \subset \mathcal{C}^{r}(M,N)$ an open subset. It is proved that for $0<r<s\leq\infty$ the inclusion $\mathcal{B} \cap \mathcal{C}^{s}(M,...
Main Authors: | , |
---|---|
Format: | Article |
Language: | Russian |
Published: |
Odessa National Academy of Food Technologies
2020-09-01
|
Series: | Pracì Mìžnarodnogo Geometričnogo Centru |
Subjects: | |
Online Access: | https://journals.onaft.edu.ua/index.php/geometry/article/view/1781 |