Polyad
In mathematics, polyad is a concept of category theory introduced by Jean Bénabou in generalising monads.[1] A polyad in a bicategory D is a bicategory morphism Φ from a locally punctual bicategory C to D, Φ : C → D. (A bicategory C is called locally punctual if all hom-categories C(X,Y) consist of one object and one morphism only.) Monads are polyads Φ : C → D where C has only one object.
Notes
- Benabou, Jean (1967), Introduction to Bicategories
Bibliography
- Street, Ross (1983), Enriched Categories and Cohomology
gollark: An integer between -2^31 and 2^31-1 maybe, for purposes.
gollark: Of everyone's picks.
gollark: Idea: game where you have to pick a number as close as possible to 80% of the average.
gollark: All my builds are basically just large excavated-out caves or vast cuboids.
gollark: Now to deploy the bee-becoming field against you instead.
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