Topology of Morse flows with fixed points on the boundary of complete handlebody

We studied topological properties of polar Morse flows on 3-dimensional handlebody, all fixed points of which lie on the boundary and have no separatrices connecting the saddle. We built an analog of Heegaard decomposition and $m$-diagram, which is complete topological invariant of flow. Equivalence...

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Bibliographic Details
Date:2015
Main Authors: Prishlyak, O. O., Skochko, D. M., Пришляк, O. O., Скочко, Д. M.
Format: Article
Language:Ukrainian
Published: Інститут математики НАН України 2015
Online Access:https://trim.imath.kiev.ua/index.php/trim/article/view/148
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Journal Title:Transactions of Institute of Mathematics of NAS of Ukraine
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Transactions of Institute of Mathematics of NAS of Ukraine