Pathway XXX

■Condensed mathematics

Sets that remember topology by what they do on profinite probes. Clausen–Scholze.

1. 01Condensed setsA condensed set is a sheaf on profinite sets: a space, reconstructed from its finite shadows.4 min
2. 02Profinite setsA profinite set is an inverse limit of finite sets. Totally disconnected compact Hausdorff.4 min