this post was submitted on 14 Oct 2024
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Manifolds, tangent spaces, conditional extrema.
Also, Putonghua.
calculus of variations on manifolds? physics detected
Nah, just want to remember the topic for when I get back to dealing with more interesting stuff like Lie groups and algebras.
The end goal is to get into algebraic topology (and topological algebra).
I don't tolerate how impure physicists are.
Imagine the atrocity of actually applying math. /jk
haha algebraist brained corn meme
derham cohomology is important for dat so enjoy!
Homology theories are very beatiful, and I do want to recall the topic of de Rham cohomology.
EDIT: autocorrect can't distinguish between words 'homology' and 'cohomology'.
it starts out so beautiful but it can get so .... twisted https://ncatlab.org/nlab/show/twisted+cohomology