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

Abstract

For $G$ a finite group and $T$ a $G$-Tambara functor, we construct the frame ${\mathrm{RadId}}_G(T)$ 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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