Arithmetic localisation and completion of spectra
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915061249867776 |
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| author | Strickland, Neil |
| author_facet | Strickland, Neil |
| contents | This is an exposition of facts about p-local spectra, p-complete spectra and modules over the p-complete sphere spectrum, including homological criteria for finiteness. Most things are well-known to the experts, with a couple of potential exceptions: every dualisable p-complete spectrum is the p-completion of a finite spectrum, and the category of modules over the p-complete sphere has homological Brown representability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_09361 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Arithmetic localisation and completion of spectra Strickland, Neil Algebraic Topology 55P60 This is an exposition of facts about p-local spectra, p-complete spectra and modules over the p-complete sphere spectrum, including homological criteria for finiteness. Most things are well-known to the experts, with a couple of potential exceptions: every dualisable p-complete spectrum is the p-completion of a finite spectrum, and the category of modules over the p-complete sphere has homological Brown representability. |
| title | Arithmetic localisation and completion of spectra |
| topic | Algebraic Topology 55P60 |
| url | https://arxiv.org/abs/2412.09361 |