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arXiv · 2505.11906

A new approach to $\delta$-rings via Stone duality

Yuto Yamada
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Abstract

We define Stone $\delta$-rings as a new class of $\delta$-rings. Via Stone duality, we shows that $\delta$-rings relates light condensed mathematics, which is developed by Clausen-Scholze. Also, we examine some phenomena for this relationship, for example, we observe $\delta$-rings which corresponds to metrizable compact Hausdorff spaces.

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Yuto Yamada. 2025-05-17. A new approach to $\delta$-rings via Stone duality. https://arxiv.org/abs/2505.11906

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