On the same $N$-type of the suspension of the infinite quaternionic projective space

Dae-Woong Lee

Let $[{\rho }_{i_k},[{\rho }_{i_{k-1}},...,[{\rho }_{i_1},{\rho }_{i_2}]...]]$ be an iterated commutator of self-maps ${\rho }_{i_j}:\Sigma \mathbb{H}{P}^{\infty }\to \Sigma \mathbb{H}{P}^{\infty },j=1,2,...,k$ on the suspen…