On manifolds homotopy equivalent to the total spaces of \(S^7\)-bundles over \(S^8\).

DOI10.5817/AM2024-3-125MaRDI QIDQ6584378

Tibor Macko, Ajay Raj

Publication date: 7 August 2024

Published in: Archivum Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Could not fetch data.

Mathematics Subject Classification ID

Sphere bundles and vector bundles in algebraic topology (55R25) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Surgery obstructions ((K)-theoretic aspects) (19J25) Microbundles and block bundles (57N55)

Cites Work

• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• Title not available (Why is that?)
• On manifolds homeomorphic to the 7-sphere
• Homeomorphy classification of total spaces of sphere bundles over spheres
• Principal quasifibrations and fibre homotopy equivalence of bundles
• A classification of \(S^{3}\)-bundles over \(S^{4}\)
• On the groups \(J(X)\). IV
• On Pontrjagin classes and homotopy types of manifolds
• On products in homotopy groups
• On complexes equivalent to \(\mathbb{S}^3\)-bundles over \(\mathbb{S}^4\)
• Note on the generator of $\pi_7(SO(n))$
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Foundational Essays on Topological Manifolds, Smoothings, and Triangulations. (AM-88)
• A Course on Surgery Theory
• Differentiable Structures on the 15-Sphere and Pontrjagin Classes of Certain Manifolds
• A generalization of the Hopf invariant

This page was built for publication: On manifolds homotopy equivalent to the total spaces of \(S^7\)-bundles over \(S^8\).

Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6584378)