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,...

Full description

Bibliographic Details
Main Authors: Олександра Олександрівна Хохлюк, Sergiy Ivanovych Maksymenko
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