The homotopy decomposition of the suspension of a non-simply-connected $5$-manifold
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2023
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| _version_ | 1866910375613562880 |
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| author | Li, Pengcheng Zhu, Zhongjian |
| author_facet | Li, Pengcheng Zhu, Zhongjian |
| contents | In this paper we determine the homotopy types of the reduced suspension space of certain connected orientable closed smooth $5$-manifolds. As applications, we compute the reduced $K$-groups of $M$ and show that the suspension map between the third cohomotopy set $π^3(M)$ and the fourth cohomotopy set $π^4(ΣM)$ is a bijection. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2311_16642 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | The homotopy decomposition of the suspension of a non-simply-connected $5$-manifold Li, Pengcheng Zhu, Zhongjian Algebraic Topology General Topology 55P15, 55P40, 57R19 In this paper we determine the homotopy types of the reduced suspension space of certain connected orientable closed smooth $5$-manifolds. As applications, we compute the reduced $K$-groups of $M$ and show that the suspension map between the third cohomotopy set $π^3(M)$ and the fourth cohomotopy set $π^4(ΣM)$ is a bijection. |
| title | The homotopy decomposition of the suspension of a non-simply-connected $5$-manifold |
| topic | Algebraic Topology General Topology 55P15, 55P40, 57R19 |
| url | https://arxiv.org/abs/2311.16642 |