A point-free approach to the Nakaoka spectrum of a Tambara functor
Fuente:
arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915947329093632 |
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| author | Heard, Drew |
| author_facet | Heard, Drew |
| contents | For $G$ a finite group and $T$ a $G$-Tambara functor, we construct the frame $\mathop{RadId}_G(T)$ of radical Tambara ideals and show that its points are the Nakaoka primes. We show that this frame is spatial and coherent, and deduce that the Nakaoka spectrum is a spectral space, recovering a recent result of Chan and Spitz. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_19313 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A point-free approach to the Nakaoka spectrum of a Tambara functor Heard, Drew Algebraic Topology Category Theory For $G$ a finite group and $T$ a $G$-Tambara functor, we construct the frame $\mathop{RadId}_G(T)$ of radical Tambara ideals and show that its points are the Nakaoka primes. We show that this frame is spatial and coherent, and deduce that the Nakaoka spectrum is a spectral space, recovering a recent result of Chan and Spitz. |
| title | A point-free approach to the Nakaoka spectrum of a Tambara functor |
| topic | Algebraic Topology Category Theory |
| url | https://arxiv.org/abs/2604.19313 |