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Results tagged with ct.category-theory
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user 105816
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
1
vote
Is Tannaka theory easy?
This is not an answer, but a collection of thoughts that make me doubt about the correctness of the proof. I am a bit familiar with Tannaka-Krein reconstruction but I am not familiar at all with Kan e …
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1
vote
Cofree Lie Coalgebra
I know about the existence of cofree Lie coalgebras from the paper by Michaelis "Lie Coalgebras", which I assume could be be the first time they appeared. You may also have a look at Griffing's "A non …
- 718
1
vote
Show that duality functor is anti-monoidal
First of all, by Mac Lane Coherence Theorem we may assume that $\mathcal{C}$ is strict. Therefore we may omit associativity and unit constraints and we are left to check that
$$J_{U,W \otimes V} \circ …
- 718
7
votes
0
answers
411
views
When do Kan extensions preserve colimits?
Assume that we have a pair of functors $Y:A \to B$ and $F:A \to C$ where $A$ is an essentially small category, $B,C$ are cocomplete categories and $Y,F$ preserve colimits. Assume also that for some re …
- 718
2
votes
Tannaka duality for closed monoidal categories
I think a good reference for your question would be R. Street, Quantum Groups, A Path to Current Algebra, Chapter 16: Tannaka Duality (see here).
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