Proxy-small objects present compactly generated categories
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866912160117948416 |
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| author | Briggs, Benjamin Iyengar, Srikanth B. Stevenson, Greg |
| author_facet | Briggs, Benjamin Iyengar, Srikanth B. Stevenson, Greg |
| contents | We develop a correspondence between presentations of compactly generated triangulated categories as localizations of derived categories of ring spectra and proxy-small objects, and explore some consequences. In addition, we give a characterization of proxy-smallness in terms of coproduct preservation of the associated corepresentable functor `up to base change'. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_07328 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Proxy-small objects present compactly generated categories Briggs, Benjamin Iyengar, Srikanth B. Stevenson, Greg Category Theory K-Theory and Homology 18G80, 13D09 We develop a correspondence between presentations of compactly generated triangulated categories as localizations of derived categories of ring spectra and proxy-small objects, and explore some consequences. In addition, we give a characterization of proxy-smallness in terms of coproduct preservation of the associated corepresentable functor `up to base change'. |
| title | Proxy-small objects present compactly generated categories |
| topic | Category Theory K-Theory and Homology 18G80, 13D09 |
| url | https://arxiv.org/abs/2411.07328 |