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Re:Topology, a Categorical Approach by bigbillheck on Monday November 14, 2022 @07:03PM (#33603273)
> there's a movement to view Category Theory as the definitive underlying field of math

Category theory doesn't have much to say about most of analysis.

Re:Topology, a Categorical Approach by kisonecat on Monday November 14, 2022 @08:18PM (#33603980)
There's definitely some connections between analysis and category theory though! There are "self-adjoint operators" in analysis and there are "adjoint functors" in category theory, and it is sort of fun to think about the analogy there.