Higher-order nondegenerate immersions of manifolds

DOI10.1016/0166-8641(87)90005-8zbMath0613.58008OpenAlexW2032234165MaRDI QIDQ1819427

Amiya Mukherjee

Publication date: 1987

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0166-8641(87)90005-8

zbMATH Keywords

higher-order tangent bundlelocal covering homotopy propertynondegenerate immersion

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Singularities of differentiable mappings in differential topology (57R45) Immersions in differential topology (57R42) Theory of singularities and catastrophe theory (58K99) Differentiable maps on manifolds (58C25)

Related Items (2)

Some results on higher order immersions of manifolds ⋮ On second-order nondegenerate immersions of \(S^ 1\) in \({\mathbb{R}}^{2}\)

Cites Work

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• The classification of immersions of spheres in Euclidean spaces
• Homotopy theory of infinite dimensional manifolds
• On the local triviality of the restriction map for embeddings
• Submersions of open manifolds
• Local triviality of the restriction map for embeddings
• Differential geometry of higher order
• Immersions of Manifolds
• The Geometry of Immersions. I
• STABLE MAPPINGS OF FOLIATIONS INTO MANIFOLDS
• REMOVAL OF SINGULARITIES OF SMOOTH MAPPINGS

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