paper

Actegories for the Working Amthematician — Matteo Capucci & Bruno Gavranović (2022). arXiv:2203.16351 (v3, PDF).

A reference on actions of monoidal categories on categories (actegories): basic definitions and results, biactegories, tensor products and the hom-tensor adjunction, and monoidal, braided and symmetric monoidal actegories — the structure underlying Para and mixed optics.

Sources: the paper, arXiv:2203.16351v3, checked against the arXiv listing. Index: Papers.

Key definitions and results

  • Definitions of actegories and their morphisms; monoidal actegories

Concept notes

Actegory, Para Construction, Optic