Recommendations for Category theory? Hi everyone So I’ve…
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Recommendations for Category theory?
Hi everyone
So I’ve been recently self studying geometry and in Tu’s “intro to manifolds”, he has a small section on category theory.
I really enjoyed that section and I liked how he used the idea of functors to prove that two tangent spaces at p and F(p) on N and M are isometric if there exists a. diffeomorphism F between the two manifolds.
I’m starting a masters degree in mathematics in the UK and one of the options in my first semester is to pick catagory theory. I would like to get a strong grounding in it.
For context I’m picking:
Category Theory
Differentiable Manifolds
General Relativity I
General Relativity II
Riemannian Geometry
Lie groups
I would like to do pursue geometry further at PhD, I’m also interested in topology.
Does anyone have any recommendations for good books on this category theory? I tried reading MacLanes book, and whilst not that I lack the maturity, it’s just I can’t deal with these massive pages of text. I’m dyslexic and I have ADHD so I struggle to read basically pages with just text and I get really bored. I like abit of smash n grab, definition, proof, example, definition, proof. That kinda stuff. I don’t really need much context to understand thing.
For more context I really enjoyed Sutherlands metric spaces and topology. If anyone has a recommendation of that kind of style I’d really appreciate it.
Also one more question, sorry. Do my choices have synergy? Is category beneficial for geometry? Thanks :)
#science
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Hi everyone
So I’ve been recently self studying geometry and in Tu’s “intro to manifolds”, he has a small section on category theory.
I really enjoyed that section and I liked how he used the idea of functors to prove that two tangent spaces at p and F(p) on N and M are isometric if there exists a. diffeomorphism F between the two manifolds.
I’m starting a masters degree in mathematics in the UK and one of the options in my first semester is to pick catagory theory. I would like to get a strong grounding in it.
For context I’m picking:
Category Theory
Differentiable Manifolds
General Relativity I
General Relativity II
Riemannian Geometry
Lie groups
I would like to do pursue geometry further at PhD, I’m also interested in topology.
Does anyone have any recommendations for good books on this category theory? I tried reading MacLanes book, and whilst not that I lack the maturity, it’s just I can’t deal with these massive pages of text. I’m dyslexic and I have ADHD so I struggle to read basically pages with just text and I get really bored. I like abit of smash n grab, definition, proof, example, definition, proof. That kinda stuff. I don’t really need much context to understand thing.
For more context I really enjoyed Sutherlands metric spaces and topology. If anyone has a recommendation of that kind of style I’d really appreciate it.
Also one more question, sorry. Do my choices have synergy? Is category beneficial for geometry? Thanks :)
#science
source
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