Multiple points of codimension one immersions of oriented manifolds

DOI10.1017/S030500410005667XzbMath0472.57017OpenAlexW2046266998MaRDI QIDQ3925563

Peter J. Eccles

Publication date: 1980

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

Full work available at URL: https://doi.org/10.1017/s030500410005667x

zbMATH Keywords

(n+1)-fold-pointsbordism groups of immersions of oriented closed n-manifolds into (n+1)- spacecodimension-one-immersionhigher James-Hopf-invariantstable n-stemSteenrod-squaresThom-Pontrjagin-construction

Mathematics Subject Classification ID

Other types of cobordism (57R90) Immersions in differential topology (57R42) Hopf invariants (55Q25) (J)-morphism (55Q50) Stable homotopy of spheres (55Q45)

Related Items

Double point self-transverse immersions of \(M^{8k}\looparrowright \mathbb R^{16k-4}\) ⋮ Separation by a codimension-1 map with a normal crossing point ⋮ On non-immersibility of \(\mathbb RP^{10}\) to \(\mathbb R^{15}\) ⋮ Double point of self-transverse immersions of \(M^{2n} \looparrowright R^{4n-5}\) ⋮ Bordism of self-intersection manifolds of certain codimension one immersions ⋮ On the unstable Hurewicz homomorphism and Toda brackets ⋮ Double point self-intersection surfaces of immersions ⋮ Cubulations, immersions, mappability and a problem of habegger ⋮ Embedding problems: Geometric and topological aspects

Cites Work

• On the suspension triad
• \(\Gamma^+\)-structures. I: A free group functor for stable homotopy theory
• \(\Gamma^+\)-structures. III: The stable structure of \(\Omega^\infty\Sigma^\infty A\)
• Self-intersections and higher Hopf invariants
• Quadruple points of 3-manifolds in \(S^4\)
• On the structure of Hopf algebras
• The nilpotency of elements of the stable homotopy groups of spheres
• Smooth manifolds and their applications in homotopy theory
• Immersions of Manifolds
• Triple Points and Surgery of Immersed Surfaces
• A Stable Decomposition of ω ^N Sⁿ X
• Homology of Iterated Loop Spaces
• Cobordism groups of immersions

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