The higher structure of unstable homotopy groups
Fuente:
arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866929722864173056 |
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| author | Basu, Samik Blanc, David Sen, Debasis |
| author_facet | Basu, Samik Blanc, David Sen, Debasis |
| contents | We construct certain unstable higher-order homotopy operations indexed by the simplex categories of $Δ^{n}$ for ${n\geq 2}$ and prove that all elements in the homotopy groups of a wedge of spheres are generated under such operations by Whitehead products and the group structure. This provides a stronger unstable analogue of Cohen's theorem on the decomposition of stable homotopy. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2003_08842 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | The higher structure of unstable homotopy groups Basu, Samik Blanc, David Sen, Debasis Algebraic Topology We construct certain unstable higher-order homotopy operations indexed by the simplex categories of $Δ^{n}$ for ${n\geq 2}$ and prove that all elements in the homotopy groups of a wedge of spheres are generated under such operations by Whitehead products and the group structure. This provides a stronger unstable analogue of Cohen's theorem on the decomposition of stable homotopy. |
| title | The higher structure of unstable homotopy groups |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2003.08842 |