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Results tagged with ct.category-theory
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user 856
Enriched categories, topoi, abelian categories, monoidal categories, homological algebra.
3
votes
1
answer
512
views
Examples of functors $\mathbf{Set} \to \mathbf{Set}$ which are not analytic
Let $\mathbb{B}$ denote the groupoid of finite sets and bijections.
A functor $F : \mathbf{Set} \to \mathbf{Set}$ is analytic if it is the left Kan extension of some functor $G : \mathbb{B} \to \math …
- 295
7
votes
1
answer
339
views
Generalizing indexed coproduct from $\mathrm{Set}$ to other monoidal categories
Consider the diagonal functor $\Delta_\mathcal{J} : \mathrm{Set} \to \mathrm{Set}^\mathcal{J}$, given by $\Delta_{\mathcal{J}}(X) = J \mapsto X$. This has left and right adjoints, which in the case t …
- 295