Homotopy dimension of orbits of Morse functions on surfaces

zbMath1196.37040arXiv0710.4437MaRDI QIDQ3396819

Sergiy Maksymenko

Publication date: 22 September 2009

Full work available at URL: https://arxiv.org/abs/0710.4437

zbMATH Keywords

orbitsclassifying spacesMorse functiongeometric dimensionhomotopy dimension

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Homotopy theory and fundamental groups in algebraic geometry (14F35) Differential topological aspects of diffeomorphisms (57R50) Variational aspects of group actions in infinite-dimensional spaces (58E40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Manifolds of mappings (46T10)

Related Items (5)

Homotopic types of right stabilizers and orbits of smooth functions on surfaces ⋮ Topological actions of wreath products ⋮ Deformations of functions on surfaces by isotopic to the identity diffeomorphisms ⋮ Deformations of circle-valued Morse functions on 2-torus ⋮ Symplectomorphisms of surfaces preserving a smooth function. I.

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