All Questions
Tagged with 2-categories kan-extension
4 questions
7
votes
0
answers
428
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Left Kan extensions of "strong" monoidal functors
Consider the 2-category $\mathsf{MonCat}$ where objects are monoidal categories,
1-cells are strong monoidal functors, and 2-cells are monoidal natural transformations.
Given arrows $f: \mathsf{C} \to ...
7
votes
2
answers
558
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Kan extensions in concrete 2-categories
Kan extensions make sense in any 2-category. I am interested in Kan extensions in "concrete" 2-categories consisting of actual categories with some sort of structure (e.g., finite products, finite ...
- 71
5
votes
1
answer
222
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Existence and characterisations of left Kan extensions and liftings in the bicategory of relations I
The bicategory $\mathsf{Rel}$ of sets, relations, and inclusions of relations has right Kan extensions and right Kan lifts¹, however I believe it does not have all left Kan extensions/lifts.
Is it ...
- 11.8k
1
vote
0
answers
81
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Existence and characterisations of left Kan extensions and liftings in the bicategory of relations II
This is the second part to a previous question regarding left Kan extensions/lifts in the bicategory $\mathsf{Rel}$ of sets, relations, and inclusions of relations, which has now been split into two ...
- 11.8k