Periods of self-maps on $\rm S^2$ via their homology

• Date: 2024
• Main Author: Llibre, Jaume
• Format: Article
• Language: English
• Published: Institute of Mathematics, NAS of Ukraine 2024
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/7668
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

UDC 517.9 As usual, we denote а $2$-dimensional sphere  by $\rm S^2$. We study the periods of  periodic orbits of the maps $f\colon \rm S^2 \rightarrow \rm S^2$ that are either continuous or $C^1$ with all their periodic orbits being hyperbolic, or transverse,...