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math.CT2022
Condensed Sets on Compact Hausdorff Spaces
Koji Yamazaki
A condensed set is a sheaf on the site of Stone spaces and continuous maps. We prove that condensed sets are equivalent to sheaves on the site of compact Hausdorff spaces and conti…
math.CT2019
Sheaf theoretic characterization of etale groupoids
Koji Yamazaki
The study of Haeflier suggests that it is natural to regard a pseudogroup as an etale groupoid. We show that any etale groupoid corresponds to a pseudogroup sheaf, a new generaliza…