Differentiable mappings with an infinite number of critical points

DOI10.1090/S0002-9939-00-05392-2zbMath0958.57032OpenAlexW1575646241MaRDI QIDQ4505900

Cornel Pintea

Publication date: 3 October 2000

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-00-05392-2

zbMATH Keywords

critical pointscritical orbitshomotopy groups\(G\)-manifolds

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Homotopy groups, general; sets of homotopy classes (55Q05) Critical points and critical submanifolds in differential topology (57R70) Immersions in differential topology (57R42)

Related Items (5)

The plane \(CS^{\infty}\) non-criticality of certain closed sets ⋮ A measure of the deviation from there being fibrations between a pair of compact manifolds ⋮ Closed sets which are not $CS^{\infty }$-critical ⋮ Aspects of Global Analysis of Circle-Valued Mappings ⋮ Isomorphic homotopy groups of certain regular sets and their images

Cites Work

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• Lusternik-Schnirelmann category of 3-manifolds
• The minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman category
• A Note on the Category of the Free Loop Space
• A measure of non-immersability of the Grassmann manifolds in some euclidean spaces
• Continuous mappings with an infinite number of topologically critical points

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