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arXiv · 2604.19313

A point-free approach to the Nakaoka spectrum of a Tambara functor

Drew Heard
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Abstract

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.

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Drew Heard. 2026-04-21. A point-free approach to the Nakaoka spectrum of a Tambara functor. https://arxiv.org/abs/2604.19313

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