Bordism groups of special generic mappings

DOI10.1090/S0002-9939-04-07586-0zbMath1060.57023arXiv1004.0460MaRDI QIDQ4829918

Rustam Sadykov

Publication date: 1 December 2004

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

Full work available at URL: https://arxiv.org/abs/1004.0460

zbMATH Keywords

homotopy groupsPontrjagin-Thom construction, special generic mappings, bordism groups

Mathematics Subject Classification ID

Stable homotopy theory, spectra (55P42) Bordism and cobordism theories and formal group laws in algebraic topology (55N22) Singularities of differentiable mappings in differential topology (57R45) Other types of cobordism (57R90) Stable homotopy groups (55Q10)

Related Items

Fold maps, framed immersions and smooth structures ⋮ Cobordism group of fold maps of oriented 3-manifolds into the plane ⋮ Cobordism of Morse functions on surfaces, the universal complex of singular fibers and their application to map germs ⋮ Cobordisms of maps with singularities of given class ⋮ Bordism groups of solutions to differential relations

Cites Work

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• A proof of the Smale conjecture, \(Diff(S^ 3)\simeq O(4)\)
• Topology of special generic maps of manifolds into Euclidean spaces
• La stratification naturelle des espaces de fonctions différentiables réelles et le théorème de la pseudo-isotopie
• Groups of homotopy spheres. I
• Immersions of Manifolds
• Diffeomorphisms of the 2-Sphere
• Introduction to homotopy theory

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