Classification of certain 6-manifolds-Reference-Cited by-同舟云学术

Classification of certain 6-manifolds

Published:1973-03 Issue:2 Volume:73 Page:293-300
ISSN:0305-0041
Container-title:Mathematical Proceedings of the Cambridge Philosophical Society
language:en
Short-container-title:Math. Proc. Camb. Phil. Soc.

Author:

Jupp P. E.

Abstract

In (13) Wall classified up to diffeomorphism, PL-homeomorphism, topological homeomorphism, and homotopy equivalence all closed, oriented, 1-connected smooth (or PL) 6-manifolds with torsion-free homology and vanishing second Stiefel-Whitney class. This paper extends these classifications to all closed, oriented, 1-connected topological 6-manifolds with torsion-free homology. The method differs from that of (13) but uses two special cases of Wall's classification.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

1. On the Homotopy Groups of the Union of Spheres

2. On Pontrjagin classes and homotopy types of manifolds.

3. Homotopy-everything 𝐻-spaces

4. Immersions and surgeries of topological manifolds

5. La classification des immersions combinatories

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