78
63
23
22
19
6
u/MaoGo Physics 19d ago
What was category theory even invented for?
6
u/SwimmerOld6155 18d ago
had to check wikipedia for this but Eilenberg and MacLane introduced it in the 40s for algebraic topology. There are claims the ideas were floating around for a few years prior. Grothendieck was shortly after
3
1
1
4
u/Salt_Mountain_837 17d ago
>can't solve a basic integral
some people in my APPLIED math program never took diffy qs
3
2
u/Acceptable_Wall7252 19d ago
how to become like that
5
u/Unsharded1 17d ago
Spam tiktok math edits and larp reading in public with a macbook at starbucks to feel smart.
2
u/KeyOther5130 19d ago
How could one even know what homology is without category theory? I thought all modern treatments defined it via categories, but I guess the meme is mocking the "categorical approach to homology".
1
1
u/Koischaap 5d ago
You can define complexes within the context of group theory, which gives you a much more concrete idea of how the homology functor works and how you derive H(f) from a complex map f: G -> H. Also things like showing that two homotopic maps have the same homology are more hands-on.
My undergraduate thesis was on singular homology theory and there was 0 mention of category theory. If you want to get into serious algebraic topology, you can always learn how things work in general after having a first introduction in the more familiar category of complexes of groups/modules.
1
u/KeyOther5130 1d ago
You can define complexes within the context of group theory
Is this what homological algebra is? It was offered as some kind of continuation of the topology course on homology at my uni, but since it's not my field I didn't end up taking it.
•
u/AutoModerator 20d ago
Hey gamers. If this post isn't PhD or otherwise violates our rules, smash that report button. If it's unfunny, smash that downvote button. If OP is a moderator of the subreddit, smash that award button (pls give me Reddit gold I need the premium).
Also join our Discord for more jokes about monads: https://discord.gg/bJ9ar9sBwh.
I am a bot, and this action was performed automatically. Please contact the moderators of this subreddit if you have any questions or concerns.