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http://dx.doi.org/10.4134/BKMS.b150838

SOME COHOMOTOPY GROUPS OF SUSPENDED QUATERNIONIC PROJECTIVE PLANES  

Lee, Jin Ho (Department of Mathematics Korea University)
Lee, Kee Young (Department of Mathematics Korea University)
Publication Information
Bulletin of the Korean Mathematical Society / v.53, no.5, 2016 , pp. 1567-1583 More about this Journal
Abstract
In this paper we present the computation of two kinds of cohomotopy groups $[{\Sigma}^n+^4{\mathbb{H}}P^2,S^n]$ and $[{\Sigma}^n+^5{\mathbb{H}}P^2,S^n]$ for a non-negative integer n, where ${\Sigma}^k{\mathbb{H}}P^2$ is the k-fold suspension of quaternionic projec- tive plane ${\mathbb{H}}P^2$.
Keywords
cohomotopy group; quaternionic projective plane; suspension; Toda bracket;
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