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Topological classification of circle-valued simple Morse-Bott functions on closed orientable surfaces

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Publication:6077460
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DOI10.5427/JSING.2022.25DMaRDI QIDQ6077460

João Carlos Ferreira Costa, Ingrid S. Meza-Sarmiento, Erica Boizan Batista

Publication date: 25 September 2023

Published in: journal of Singularities (Search for Journal in Brave)


zbMATH Keywords

topological equivalencetopological invariantReeb graphMorse-Bott functions


Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Topological invariants on manifolds (58K65) Critical points and critical submanifolds in differential topology (57R70) Topological properties of mappings on manifolds (58K15)


Related Items (2)

Coadjoint orbits of vortex sheets in ideal fluids ⋮ Realization of a digraph as the Reeb graph of a Morse-Bott function on a given surface







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