The higher structure of unstable homotopy groups
| Autor: | Basu, Samik, Blanc, David, Sen, Debasis |
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| Rok vydání: | 2020 |
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| Druh dokumentu: | Working Paper |
| Popis: | We construct certain unstable higher-order homotopy operations indexed by the simplex categories of $\Delta^{n}$ 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. Comment: The articles 'The higher structure of unstable homotopy groups' and 'Note on Toda brackets' subsume the submission 1810-06005 |
| Databáze: | arXiv |
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