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Results tagged with ct.category-theory
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user 40779
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
1
vote
1
answer
184
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partial pullback-completion of a category
Let $\mathcal{C}$ be a (possibly enriched) category with all finite product, and $\mathbf{M}$ a class of morphisms.
Can one construct completion of $\mathcal{C}$ w.r.t. all pullbacks along morphisms i …
- 311
3
votes
2
answers
1k
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Is the morphism coproduct -> product in additive category monic?
In an additive category, What are sufficient conditions for the canonical morphism from the coproduct to the product of arbitary collection of objects to be monic (when they both exist)? the condition …
- 311
0
votes
Tensor product over a monoid in a monoidal category
In the case when $A$ is not commutative, this result appear as exercise 6 in section VII.4 of MacLane "Categories". For the commutative case, see the references to my question.
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4
votes
1
answer
171
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Relative category structure on (Set valued) presheaves
Suppose $(\mathcal{C},\mathcal{W})$ is a relative category (we can assume $\mathcal{C}$ is small for the matter). Is there any work which deal with constructing a relative category structure on $\math …
- 311
9
votes
2
answers
2k
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Category of modules over commutative monoid in symmetric monoidal category
Let $\left(\cal{C},\otimes ,I\right)$ be a symmetric monoidal category (not necessarily closed) and $A$ a commutative monoid in $\cal{C}$. In his DAG III (page 95), Lurie writes:
In many cases, the c …
- 311