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Spaces A × B of Conilpotency ≤ 1
Published online by Cambridge University Press: 20 November 2018
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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.
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- Copyright © Canadian Mathematical Society 1969