Exploring Wtf Is Sheafification
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- Goal. Explaining basic concepts in the intersection of geometry and algebra in an intuitive way. This time. What is...
- Ever feel like the mathematics you're learning doesn't make any sense to you? Good. In a way, it would've been worse if you ...
- A colimit is just a limit in the opposite category, what's the problem? Prerequisites: https://youtu.be/5uI0uJpsEhI ...
- Monads look pretty different in math vs in programming... what exactly are they? (Don't say they're just monoids in the category of ...
- Sure, integer arithmetic on a computer may lead to overflows, but this behaviour is manageable and easy to predict... why do ...
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I can't keep running away from this question. ______ Timestamps: 00:00 - Introduction 00:34 - Q&A 02:13 - What is a sheaf? 05:48 ... Get an exclusive deal on a 2-year plan with NordVPN + 4 months free by going to https://nordvpn.com/ The "opposite" of being finite is having a finite complement. The "opposite" of a vector is a linear functional. If a set is a small ... I'm sure we've all heard of the Yoneda Lemma before, but why does it get so much hype in category theory when the result itself is ...
When you hear that someone is "studying algebra". What comes to mind? Are they drilling through thousands of factorisation ...
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