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arXiv · 2410.24077

Derived Stone Embedding

Amos Kaminski
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Abstract

A classical result, the Stone embedding, characterizes profinite sets as totally disconnected, compact Hausdorff spaces. Building on "Pyknotic objects, I. Basic notions", which introduced a derived Stone embedding of the pro-category of $\pi$-finite spaces into pyknotic spaces, this paper uses the $\infty$-topoi machinery to partially characterize the essential image of this embedding, extending the classical characterization to the derived setting.

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Amos Kaminski. 2024-10-31. Derived Stone Embedding. https://arxiv.org/abs/2410.24077

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