2 problems

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The positive-definite Dedekind absolute value classification conjecture for the integers
Let $[\mathbb{Z}\text{-}\mathsf{av}^{+}]$ denote the space of positive-definite Dedekind absolute values on $\mathbb{Z}$ , and let … Here $\mathrm{ISpec}(\mathbb{Z})$ is the space o…
Conjectureopenabsolute-values number-theory point-free-topologyarXiv posted 2 days ago
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The spectrum conjecture for the double-powerlocale monad
Spectrum conjecture. There is a natural isomorphism
Conjectureopencategory-theory locale-theory point-free-topologyarXiv posted 2 days ago

The positive-definite Dedekind absolute value classification conjecture for the integers