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Spaces A × B of Conilpotency ≤ 1

Published online by Cambridge University Press:  20 November 2018

C.S. Hoo
C.S. Hoo*
Affiliation:
University of Alberta, EdmontonAlberta
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Let A and B be spaces having the homotopy type of countable CW-complexes. Then we prove the following theorems.

Theorem 1. If conil(A × B) ≤ 1, then for each integer n ≥ 1, the inclusion j: ∑n A ∨ ∑n B → ∑nA × ∑n B is a homotopy equivalence.

This result is obtained as a corollary of Theorem 2.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 12 , Issue 1 , February 1969 , pp. 75 - 78
Copyright
Copyright © Canadian Mathematical Society 1969

References

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