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Condensed mathematics of Clausen and Scholze. Closely related to the pyknotic mathematics of Barwick and Haine.

4 votes

What intuitive notion is formalized by condensed mathematics?

$ \newcommand{\N}{\mathbb N} \newcommand{\R}{\mathbb R} \newcommand{\~}{\tilde} \newcommand{\O}{\mathcal O} \newcommand{\Set}{\mathrm{Set}} \newcommand{\Top}{\mathrm{Top}} \newcommand{\iso}{\xrightarr …
Yuri Sulyma's user avatar
  • 1,838
21 votes
Accepted

What intuitive notion is formalized by condensed mathematics?

Condensed sets axiomatize the notion of convergence rather than the notion of neighborhoods. Unlike topological spaces, they allow a sequence to converge "for multiple different reasons". This is simi …
Yuri Sulyma's user avatar
  • 1,838