Derived Stone Embedding
Algebraic Topology
2026-03-13 v3 Category Theory
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 -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.
Cite
@article{arxiv.2410.24077,
title = {Derived Stone Embedding},
author = {Amos Kaminski},
journal= {arXiv preprint arXiv:2410.24077},
year = {2026}
}