Topologically non-degenerate functions on a compact \(n\)-manifold \(M\)
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Publication:773233
DOI10.1007/BF02787685zbMath0096.30603OpenAlexW2020042786WikidataQ105532209 ScholiaQ105532209MaRDI QIDQ773233
Publication date: 1959
Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf02787685
Related Items (13)
Elementary Quotients of Abelian Groups, and Singular Homology on Manifolds ⋮ Singularities of piecewise linear mappings. I Mappings into the real line ⋮ Criterion for the existence of an energy function for a regular homeomorphism of the 3-sphere ⋮ A Morse energy function for topological flows with finite hyperbolic chain recurrent sets ⋮ PL Morse theory in low dimensions ⋮ Inhomogeneous extreme forms ⋮ A continuous function with two critical points ⋮ On existence of Morse energy function for topological flows ⋮ Simple and optimal output-sensitive construction of contour trees using monotone paths ⋮ Topological non-degenerate functions ⋮ Construction of the Morse-Bott energy function for regular topological flows ⋮ Marston Morse and his mathematical works ⋮ Geometry of Riemann surfaces based on closed geodesics
Cites Work
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- The existence of non-degenerate functions on a compact differentiable \(m\)-manifold \(M\)
- The existence of polar non-degenerate functions on differentiable manifolds
- Affine structures in 3-manifolds. V: The triangulation theorem and Hauptvermutung
- Singular homology theory
- A positive, lower semi-continuous, non-degenerate function on a metric space
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