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On the decomposition of spaces in Cartesian products and unions

Published online by Cambridge University Press:  24 October 2008

Tudor Ganea  and
Peter J. Hilton
Tudor Ganea
Affiliation:
The University of BucarestCornell UniversityUniversity of Birmingham
Peter J. Hilton
Affiliation:
The University of BucarestCornell UniversityUniversity of Birmingham
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Extract

The present paper is concerned with particular cases, obtained by suitably restricting the spaces involved, of the following general problem.

Given a topological space X, we ask whether there exist integers n ≥ 2 and non-contractible spaces X1, …, Xn such that X has the homotopy type of the Cartesian product X1, × … × Xn or of the union X1, v … v Xn.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 55 , Issue 3 , July 1959 , pp. 248 - 256
Copyright
Copyright © Cambridge Philosophical Society 1959

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References

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