On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications

In this paper, we determined the \(2,3\)-components of the homotopy groups \(\pi _{r+k}(\Sigma ^{k}\mathbb{H}P^{2})\) for all \( 7\leq r\leq15\) and all \(\;k\geq0\), especially for the unstable ones. And we gave the applications, including the classification theorems of the 1-connected CW complexes...

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Bibliographic Details
Published inarXiv.org
Main Authors Yang, Juxin, Mukai, Juno, Wu, Jie
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.04.2024
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Summary:In this paper, we determined the \(2,3\)-components of the homotopy groups \(\pi _{r+k}(\Sigma ^{k}\mathbb{H}P^{2})\) for all \( 7\leq r\leq15\) and all \(\;k\geq0\), especially for the unstable ones. And we gave the applications, including the classification theorems of the 1-connected CW complexes having CW types of the suspended \(\mathbb{H} P^{3}\) localized at 3 , and the decompositions of the suspended self smashes.
ISSN:2331-8422