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: The -1/12 thing.
gollark: You can also get that from some dubiously valid manipulation of the infinite sum directly right?
gollark: You can call it that. I just enjoy quoting things.
gollark: Have you tried doing a 'masters" in something else which you do like?
gollark: ++magic reload_ext irc_link
This article is issued from Wikipedia. The text is licensed under Creative Commons - Attribution - Sharealike. Additional terms may apply for the media files.