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: It's not any sort of necessary pain, if a better solution exists which is deliberately not allowed.
gollark: And might make you still somewhat legally responsible, I'm not sure.
gollark: Which still requires you to actually go through all the problems of birthing them.
gollark: Again, you seem to be missing everyone's actual thought processes, Volodymyr, unless you think that they're just lying about those being their thought processes.
gollark: Someone banning abortion is, I mean, not you specifically.
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