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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?
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\newcommand{\N}{\mathbb N}
\newcommand{\R}{\mathbb R}
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\newcommand{\Set}{\mathrm{Set}}
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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 …