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The group of self-homotopy equivalences of principal three sphere bundles over the seven sphere

Published online by Cambridge University Press:  24 October 2008

John W. Rutter
Affiliation:
University of Liverpool

Extract

1. The set ℰ (X) of homotopy classes of self-homotopy equivalences of a space X forms a group under composition. In this note I complete the calculation of ℰ (X) when X is a torsion free rank 2 h-space, and give ℰ (X) up to extension for the remaining principal S3 bundles over S7.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

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