The monochromatic Hahn-Wilson conjecture
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866912075431804928 |
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| author | Lee, David Jongwon Pstrągowski, Piotr |
| author_facet | Lee, David Jongwon Pstrągowski, Piotr |
| contents | We prove the $K(n)$-local analogue of the Hahn-Wilson conjecture on fp-spectra, which states that the truncated Brown-Peterson spectra generate the category of fp-spectra as a thick subcategory. As a corollary, we deduce the original conjecture at height $1$. Along the way, we prove the existence of $K(n)$-local finite complexes with particularly regular rings of homotopy groups. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08029 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | The monochromatic Hahn-Wilson conjecture Lee, David Jongwon Pstrągowski, Piotr Algebraic Topology We prove the $K(n)$-local analogue of the Hahn-Wilson conjecture on fp-spectra, which states that the truncated Brown-Peterson spectra generate the category of fp-spectra as a thick subcategory. As a corollary, we deduce the original conjecture at height $1$. Along the way, we prove the existence of $K(n)$-local finite complexes with particularly regular rings of homotopy groups. |
| title | The monochromatic Hahn-Wilson conjecture |
| topic | Algebraic Topology |
| url | https://arxiv.org/abs/2410.08029 |