Conservative geometric functors via purity
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866911450707001344 |
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| author | Castellana, Natàlia Gómez, Juan Omar |
| author_facet | Castellana, Natàlia Gómez, Juan Omar |
| contents | We establish a criterion for determining when a family of geometric functors is jointly conservative through the lens of purity in compactly generated triangulated categories. We introduce the notion of pure descendability and we apply it to two particular situations involving sequential limits of ring spectra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2602_14886 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Conservative geometric functors via purity Castellana, Natàlia Gómez, Juan Omar Algebraic Topology Category Theory Representation Theory 55R35, 18G80, 18F99, 20C20 We establish a criterion for determining when a family of geometric functors is jointly conservative through the lens of purity in compactly generated triangulated categories. We introduce the notion of pure descendability and we apply it to two particular situations involving sequential limits of ring spectra. |
| title | Conservative geometric functors via purity |
| topic | Algebraic Topology Category Theory Representation Theory 55R35, 18G80, 18F99, 20C20 |
| url | https://arxiv.org/abs/2602.14886 |