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The group of homotopy self-equivalence classes using an homology decomposition

Published online by Cambridge University Press:  24 October 2008

John W. Rutter
John W. Rutter
Affiliation:
Department of Pure Mathematics, The University, Liverpool
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Extract

Exact sequences which can be used for calculating the group (X) of homotopy classes of homotopy self-equivalences of a space X are known in the case of cellular decompositions (some references are given in § 1 of [8]), and in the case of Postnikov decompositions (for example 3·1 of [5]). Here we obtain exact sequences which can be used to calculate (X) using a simply-connected homology decomposition.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 103 , Issue 2 , March 1988 , pp. 305 - 315
Copyright
Copyright © Cambridge Philosophical Society 1988

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References

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