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On Product Decompositions

Published online by Cambridge University Press:  20 November 2018

K. Varadarajan
K. Varadarajan*
Affiliation:
The University of Calgary, Calgary, Alberta, Canada
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Borsuk has asked whether there exists for each compact metric absolute neighbourhood retract X an integer l (depending only on X) with the property that if X is homotopy equivalent to a cartesian product of more than l spaces than at least one of these spaces is contractible. The answer to this question is still not known. The following theorem has been proved by Ganea and Hilton [Theorem 1.3 of [1]].

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 5 , February 1975 , pp. 739 - 746
Copyright
Copyright © Canadian Mathematical Society 1975

References

1. Ganea, T. and Hilton, P. J., On decomposition of spaces into Cartesian products and unions, P. J. Hilton Proc. Camb. Phil. Soc 55 (1959) pp. 248–256.Google Scholar
2. Massey, W. S., Algebraic Topology: An introduction, Harcourt, Brace and World, Inc., 1967.Google Scholar