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Results tagged with profunctors
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user 104432
8
votes
Accepted
The Kan construction, profunctors, and Kan extensions
I will try to answer the second question.
Prop 1. Let ${\bf C} \xleftarrow{i} {\bf A} \xrightarrow{f} {\bf B}$ be a span where $i$ is dense and fully faithful. Moreover $\text{lan}_if$ is pointwi …
- 9,111
4
votes
Accepted
Profunctors as a Kleisli bicategory
This beautiful story take place in $\mathsf{Cat}$, the bicategory of locally small categories. There, the construction of small presheaves induces a pseudomonad whose pseudoalgebrabas are cocomplete c …
- 9,111
2
votes
Adjunctions with respect to profunctors
I remember I tried to work with this definition for a while when I still believed in the notion of relative category. Under some coherence assumptions, your notion is related to the classical notion o …
- 9,111