Homotopy properties of smooth functions on the Möbius band

Let $B$ be a M\"obius band and $f:B \to \mathbb{R}$ be a Morse map taking a constant value on $\partial B$, and $\mathcal{S}(f,\partial B)$ be the group of diffeomorphisms $h$ of $B$ fixed on $\partial B$ and preserving $f$ in the sense that $f\circ h = f$. Under certain assumptions on $f$ w...

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Bibliographic Details
Main Authors: Iryna Kuznietsova, Sergiy Maksymenko
Format: Article
Language:Russian
Published: Odessa National Academy of Food Technologies 2019-10-01
Series:Pracì Mìžnarodnogo Geometričnogo Centru
Subjects:
Online Access:https://journals.onaft.edu.ua/index.php/geometry/article/view/1488