Homotopic types of right stabilizers and orbits of smooth functions on surfaces

• Date: 2012
• Main Authors: Maksimenko, S. I., Максименко, С. И.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 2012
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/2651
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

Let $\mathcal{M}$ be a smooth connected compact surface, $P$ be either the real line $\mathbb{R}$ or a circle $S^1$. For a subset $X ⊂ M$, let $\mathcal{D}(M, X)$ denote the group of diffeomorphisms of $M$ fixed on $X$. In this note, we consider a special class F of smooth maps $f : M → P$ with iso...