Homeotopy groups for nonsingular foliations of the plane

• Datum: 2017
• Hauptverfasser: Soroka, Yu. Yu., Сорока, Ю. Ю.
• Format: Artikel
• Sprache: Ukrainisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2017
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/1753
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a special class of nonsingular oriented foliations $F$ on noncompact surfaces $\Sigma$ whose spaces of leaves have the structure similar to the structure of rooted trees of finite diameter. Let $H^+(F)$ be the group of all homeomorphisms of $\Sigma$ mapping the leaves onto leaves and p...