On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications
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arXiv
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| Auteurs principaux: | , , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866908553033285632 |
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| author | Yang, Juxin Mukai, Juno Wu, Jie |
| author_facet | Yang, Juxin Mukai, Juno Wu, Jie |
| contents | In this paper, we determined the $2,3$-components of the homotopy groups $π_{r+k}(Σ^{k}\mathbb{H}P^{2})$ 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2301_06776 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications Yang, Juxin Mukai, Juno Wu, Jie Algebraic Topology In this paper, we determined the $2,3$-components of the homotopy groups $π_{r+k}(Σ^{k}\mathbb{H}P^{2})$ 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. |
| title | On the Homotopy Groups of the Suspended Quaternionic Projective Plane and Applications |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2301.06776 |