Topology of the spaces of functions with prescribed singularities on surfaces

DOI10.1134/S1064562416030066zbMath1357.58014arXiv1601.02283OpenAlexW2468947029MaRDI QIDQ334402

E. A. Kudryavtseva

Publication date: 1 November 2016

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1601.02283

zbMATH Keywords

configuration spacecritical pointMorse functionhomotopy equivalence

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Global theory of singularities (58K30)

Related Items (3)

Topological actions of wreath products ⋮ Deformations of functions on surfaces by isotopic to the identity diffeomorphisms ⋮ First Betti numbers of the orbits of Morse functions on surfaces

Cites Work

• Special framed Morse functions on surfaces
• Topology of spaces of functions without compound singularities
• Morse 2-jet space and \(h\)-principle
• The topology of spaces of Morse functions on surfaces
• Topological classification of Morse functions and generalisations of Hilbert's 16-th problem
• Homotopy types of stabilizers and orbits of Morse functions on surfaces
• Tangents to an analytic variety
• On the homotopy type of spaces of Morse functions on surfaces
• Framed Morse functions on surfaces
• Realization of smooth functions on surfaces as height functions

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