Definable functoriality of tensor-triangular spectra
Fuente:
arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866910055675199488 |
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| author | Bird, Isaac Williamson, Jordan |
| author_facet | Bird, Isaac Williamson, Jordan |
| contents | We prove that the homological and Balmer spectra in tensor-triangular geometry are functorial in certain definable functors, thereby providing an alternative perspective on functoriality in tensor-triangular geometry from the viewpoint of purity, and generalising current results in the literature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_10454 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Definable functoriality of tensor-triangular spectra Bird, Isaac Williamson, Jordan Category Theory Commutative Algebra Algebraic Topology Representation Theory 18G80, 18F99, 18E45 We prove that the homological and Balmer spectra in tensor-triangular geometry are functorial in certain definable functors, thereby providing an alternative perspective on functoriality in tensor-triangular geometry from the viewpoint of purity, and generalising current results in the literature. |
| title | Definable functoriality of tensor-triangular spectra |
| topic | Category Theory Commutative Algebra Algebraic Topology Representation Theory 18G80, 18F99, 18E45 |
| url | https://arxiv.org/abs/2511.10454 |