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Results tagged with ct.category-theory
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user 4692
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
1
vote
What are the advantages of phrasing results in terms of exact sequences and commutative diag...
(too many characters for me to leave a comment on Emerton's answer):
I was asking why are elementary theorems phrased in this language and why is this language used at all. The question was caused by …
- 4,351
3
votes
4
answers
3k
views
Reference request for category theory works which quickly prove the theorem which generalise...
One aspect of category theory that caught my eye is that it can give simultaneously prove the 1st isomorphism theorem for groups/rings/fields/vector spaces/... Yet whenever I look up works on category …
- 4,351
22
votes
8
answers
4k
views
What are the advantages of phrasing results in terms of exact sequences and commutative diag...
For example, I find the first group isomorphism theorem to be vastly more opaque when presented in terms of commutative diagrams and I've had similar experiences with other elementary results being ex …
- 4,351