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Results tagged with ct.category-theory
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user 110
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
2
votes
Aspherical operads
This needs some checking but for the free non-symmetric operad generated by a single operation in arity 2, the category (PRO) I think you get is the free monoidal category generated by a single object …
- 504
16
votes
What is Koszul duality?
I'd really like to hear a complete answer to this question. I have my own idea and although I don't think it's a perfect answer to your question, perhaps it will help someone.
There's a way of defini …
- 504
1
vote
Accepted
Aspherical operads
I've left my original answer as some people may find it of interest.
I have a candidate counterexample. The idea is to find a (non-symmetric) set operad in between the free operad $Free_2$ on a sing …
- 504
2
votes
Accepted
How many operad structures are there on the symmetric sequence of simplices / finitely-suppo...
Abusing notation, write m for the uniform distribution on each finite set and define p o p' = m for any p, p' not equal to the identity.
This is possibly a limit of operads of the formula you give wh …
- 504
2
votes
When does the enveloping algebra functor lift to the category of bialgebras?
I was going to post this as a comment but rambled on too long. I haven't check the details of the following.
To every operad $O$ there's an algebra $A(O)$ in the category of right $O$-modules create …
- 504