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Condensed mathematics
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<p>Condensed mathematics is a theory developed by <a href="/facts/Dustin_Clausen/a0EpnEKr">Dustin Clausen</a> and <a href="/facts/Peter_Scholze/zLFj1Dhl">Peter Scholze</a> which replaces a topological space by a certain sheaf of sets, in order to solve some technical problems of doing <a href="/facts/Homological_algebra/Jfm8w52l">homological algebra</a> on <a href="/facts/Topological_group/cAgNMMRU">topological groups</a>. </p><p>According to some,[<i>who?</i>] the theory aims to unify various <a href="/facts/Mathematics/pxTouaz4">mathematical</a> subfields, including <a href="/facts/Topology/2EqW47cU">topology</a>, <a href="/facts/Complex_geometry/ekCsxAXb">complex geometry</a>, and <a href="/facts/Algebraic_geometry/rh7RHVp3">algebraic geometry</a>. In particular, <a href="/facts/Kiran_Kedlaya/kzQrFP2E">Kiran Kedlaya</a> described condensed mathematics as "technology for doing commutative algebra over topological rings." </p>