Examples of smooth maps with finitely many critical points in dimensions $(4,3)$, $(8,5)$ and $(16,9)$

DOI10.1090/S0002-9939-09-10028-XzbMath1192.57014arXiv0803.0665OpenAlexW1984178720MaRDI QIDQ3402189

Cornel Pintea, Ping Zhang, Luois Funar

Publication date: 2 February 2010

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

Full work available at URL: https://arxiv.org/abs/0803.0665

zbMATH Keywords

critical pointssuspensionhomotopy sphereHopf fibrationisolated singularities

Mathematics Subject Classification ID

Singularities of differentiable mappings in differential topology (57R45) Critical points and critical submanifolds in differential topology (57R70) Critical points of functions and mappings on manifolds (58K05) Fiberings with singularities in algebraic topology (55R55) Homotopy spheres, Poincaré conjecture (57R60)

Related Items (5)

Manifolds which admit maps with finitely many critical points into spheres of small dimensions ⋮ Aspects of Global Analysis of Circle-Valued Mappings ⋮ Isomorphic homotopy groups of certain regular sets and their images ⋮ Maps with finitely many critical points into high dimensional manifolds ⋮ On the minimal number of critical points of smooth maps between closed manifolds

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• On the Inertia Group of a Product of Spheres
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