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A Note on the Homotopy-Commutativity of Suspensions

Published online by Cambridge University Press:  20 November 2018

C.S. Hoo
C.S. Hoo*
Affiliation:
University of Alberta Edmonton, Alberta
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Let A and X be spaces. Then as is wellknown, [∑A, X] is a group where ∑ denotes the suspension. We wish to find conditions on A which will imply that this group is abelian for all spaces X, that is, ∑A is homotopy-commutative. This is equivalent to saying that conii A≤ 1 (see [2] for definition). Our results contain relations between conil A and the generalised Whitehead product of [1]. We work in the category of complexes with base points.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 10 , Issue 5 , December 1967 , pp. 665 - 668
Copyright
Copyright © Canadian Mathematical Society 1967

References

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4. Ganea, T., On some numerical homotopy invariants, Proc. International Congress of Mathematicians (1966) 467-472.Google Scholar
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