Common
Condensed mathematics
Area of mathematics using condensed sets
Condensed mathematics
Condensed mathematics is a theory developed by Dustin Clausen and Peter Scholze which replaces a topological space by a certain sheaf of sets, in order to solve some technical problems of doing homological algebra on topological groups. Essentially the same notion was also introduced by Barwick and Haine under the name pyknotic set. The theory aims to unify various mathematical subfields, including topology, complex geometry, and algebraic geometry. In particular, Kiran Kedlaya described condensed mathematics as "technology for doing commutative algebra over topological rings."
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