#wheres that table that translates between linear algebra and category theory
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Re: topology is everywhere: I found the same result w/ Linear Algebra, that fundamental principles and objects had clear analogues in almost every study I had. I think it comes from the fact that both LA and Topology use v minimal information to give rise to an object (vector/topological spaces) that describe a multitude of complex structures.
yeah i totally get this
to me topology is the thing that is conceptually everywhere, like, in most things people care about, there’s some relevant notion of “connectedness”
linear algebra on the other hand feels like the best way to compute things, it applies to so many things and it’s just so nice to work with (someone else called it the hot cocoa of math recently?)
i remember the first time i computed a homology group and like... used basic matrix algebra to do so. that felt so great
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