Bull. Korean Math. Soc. 2016; 53(5): 1567-1583
Online first article September 13, 2016 Printed September 30, 2016
https://doi.org/10.4134/BKMS.b150838
Copyright © The Korean Mathematical Society.
Jin Ho Lee and Kee Young Lee
Korea University, Korea University
In this paper we present the computation of two kinds of cohomotopy groups $[\Sigma^{n+4} \A P^2,S^n]$ and $[\Sigma^{n+5} \A P^2,S^n]$ for a non-negative integer $n$, where $\Sigma^{k} \A P^2$ is the $k$-fold suspension of quaternionic projective plane $\A P^2$.
Keywords: cohomotopy group, quaternionic projective plane, suspension, Toda bracket
MSC numbers: 55P15, 55Q05, 55Q40, 55Q55
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