Statistics and classification of topologies of periodic functions and trigonometric polynomials

DOI10.1134/S0081543806050038zbMath1130.58008OpenAlexW53899340MaRDI QIDQ5421273

Vladimir I. Arnold

Publication date: 22 October 2007

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/timm/v12/i1/p15

zbMATH Keywords

elliptic curveMorse functiongraph of a Morse function

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Singularities of differentiable mappings in differential topology (57R45) Critical points of functions and mappings on manifolds (58K05)

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Topological classification of circle-valued simple Morse-Bott functions

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