The first Betti numbers of orbits of Morse functions on surfaces

UDC 515.1 Let $M$ be a connected compact orientable surface and let $P$ be the real line $\mathbb{R}$ or circle $S^1.$ The group $\mathcal{D}$ of diffeomorphisms on $M$ acts in the space of smooth mappings $C^{\infty} (M,P)$ by the rule $(f,h)\longmapsto f\circ h,$ where $h \in \mathcal{D},$ $f\in C...

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Bibliographic Details
Date:2021
Main Authors: Kuznietsova, I. V., Soroka, Yu. Yu., I. V., Yu. Yu., Кузнєцова, І. В., Сорока, Ю. Ю.
Format: Article
Language:Ukrainian
Published: Institute of Mathematics, NAS of Ukraine 2021
Online Access:https://umj.imath.kiev.ua/index.php/umj/article/view/2383
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Journal Title:Ukrains’kyi Matematychnyi Zhurnal
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Ukrains’kyi Matematychnyi Zhurnal