Topological classification of Morse polynomials

DOI10.1134/S0081543810010049zbMath1214.57026OpenAlexW2099912383MaRDI QIDQ600710

Vladimir I. Arnold

Publication date: 1 November 2010

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

Full work available at URL: https://doi.org/10.1134/s0081543810010049

zbMATH Keywords

Morse functionpolynomials of degree 4topological classifications

Mathematics Subject Classification ID

General low-dimensional topology (57M99) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Critical points and critical submanifolds in differential topology (57R70) Differentiable mappings in differential topology (57R35)

Related Items (3)

Deformations of functions on surfaces by isotopic to the identity diffeomorphisms ⋮ Classification of taut irreducible real linear representations of compact connected Lie groups ⋮ On the homotopy type of spaces of Morse functions on surfaces

Cites Work

• Unnamed Item
• Smooth functions statistics
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem

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