Coincidences of Fibrewise Maps Between Sphere Bundles Over the Circle

DOI10.1017/S0013091513000552zbMath1302.55003OpenAlexW2086919203MaRDI QIDQ2921042

Oziride Manzoli Neto, Ulrich Koschorke, Alice Kimie Miwa Libardi, Daciberg Lima Gonçalves

Publication date: 30 September 2014

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

Full work available at URL: https://doi.org/10.1017/s0013091513000552

zbMATH Keywords

Nielsen numbercoincidenceGysin sequencesphere bundlefibrewise mapnormal bordism

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Obstruction theory in algebraic topology (55S35) Fixed points and coincidences in algebraic topology (55M20) Other types of cobordism (57R90) Homotopy groups of spheres (55Q40)

Related Items (1)

Evaluation fibrations and path-components of the mapping space \(M(\mathbb{S}^{n+k},\mathbb{S}^n)\) for \(8\leq k\leq 13\)

Cites Work

• Minimum numbers and Wecken theorems in topological coincidence theory. I
• Reidemeister coincidence invariants of fiberwise maps
• Nielsen coincidence theory of fibre-preserving maps and Dold's fixed point index
• Fixed points of \(S^ 1\)-fibrations
• Vector fields and other vector bundle morphisms - a singularity approach
• Fixed points and braids. II
• Self-coincidence of mappings between spheres and the strong Kervaire invariant one problem
• Note on the Whitehead product
• FIXED POINTS AND COINCIDENCES IN TORUS BUNDLES

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