Path-components of Morse mappings spaces of surfaces

DOI10.4171/CMH/30zbMath1079.37035arXivmath/9910085MaRDI QIDQ2388662

Sergey Maksymenko

Publication date: 15 September 2005

Published in: Commentarii Mathematici Helvetici (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9910085

zbMATH Keywords

critical pointsindexpath-componentMorse mappingsone-dimensional manifold

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Homotopy and topological questions for infinite-dimensional manifolds (58B05)

Related Items (7)

Homotopic properties of the spaces of smooth functions on a 2-torus ⋮ Connected components of spaces of Morse functions with fixed critical points ⋮ The topology of spaces of Morse functions on surfaces ⋮ Deformations of functions on surfaces by isotopic to the identity diffeomorphisms ⋮ Homotopy types of stabilizers and orbits of Morse functions on surfaces ⋮ Uniform Morse lemma and isotopy criterion for Morse functions on surfaces ⋮ On the homotopy type of spaces of Morse functions on surfaces

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