On the Whitehead theorem for nilpotent motivic spaces
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2022
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| Subjects: | |
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| _version_ | 1866917119794348032 |
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| author | Asok, Aravind Bachmann, Tom Hopkins, Michael J. |
| author_facet | Asok, Aravind Bachmann, Tom Hopkins, Michael J. |
| contents | We improve some foundational connectivity results and the relative Hurewicz theorem in motivic homotopy theory, study functorial central series in motivic local group theory, establish the existence of functorial Moore--Postnikov factorizations for nilpotent morphisms of motivic spaces under a mild technical hypothesis and establish an analog of the Whitehead theorem for nilpotent motivic spaces. As an application, we deduce a surprising unstable motivic periodicity result. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_05933 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | On the Whitehead theorem for nilpotent motivic spaces Asok, Aravind Bachmann, Tom Hopkins, Michael J. Algebraic Geometry Algebraic Topology Group Theory K-Theory and Homology 14F42 20F19 55S45 We improve some foundational connectivity results and the relative Hurewicz theorem in motivic homotopy theory, study functorial central series in motivic local group theory, establish the existence of functorial Moore--Postnikov factorizations for nilpotent morphisms of motivic spaces under a mild technical hypothesis and establish an analog of the Whitehead theorem for nilpotent motivic spaces. As an application, we deduce a surprising unstable motivic periodicity result. |
| title | On the Whitehead theorem for nilpotent motivic spaces |
| topic | Algebraic Geometry Algebraic Topology Group Theory K-Theory and Homology 14F42 20F19 55S45 |
| url | https://arxiv.org/abs/2210.05933 |