Geodesic
Spaces A × B of Conilpotency ≤ 1
Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 75-78

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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. 
Hoo, C.S. Spaces A × B of Conilpotency ≤ 1. Canadian mathematical bulletin, Tome 12 (1969) no. 1, pp. 75-78. doi: 10.4153/CMB-1969-008-7
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     title = {Spaces {A} {\texttimes} {B} of {Conilpotency} \ensuremath{\leq} 1},
     journal = {Canadian mathematical bulletin},
     pages = {75--78},
     year = {1969},
     volume = {12},
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     doi = {10.4153/CMB-1969-008-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1969-008-7/}
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