Derived Stone Embedding
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 π-finite spaces into pyknotic spaces, this paper uses the ∞-topoi machinery to partially characterize the essential image of this embedding, extending the classical characterization to the derived setting.
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