Homotopies of maps of suspended quaternionic projective spaces and their cohomotopy groups

M. Golasinski, T. de Melo, E. L. dos Santos

We describe the set [X,Y] of path-components of pointed mapping spaces M*(X,Y), where X is chosen to be the reduced k th suspension EkHPm of a projective space HPm for the skew algebra H of quaternions and Y is a sphere Sn or FPn for F being the real numbers R, the complex numbers C or H. In particular, the cohomotopy sets πn(EkHPm) are studied for k ⋝ 0 and certain m,n ⋝ 1. 

Tbilisi Mathematical Journal, Special Issue (HomotopyTheorySpectra - 2020), pp. 167-181