nLab enhanced factorisation system




An enhanced factorisation system on a 2-category is an orthogonal factorisation system on a 2-category such that, for any invertible 2-cell α:tems\alpha : t e \Rightarrow m s

there is a unique pair of a 1-cell r:BCr : B \to C and invertible 2-cell β:tmr\beta : t \Rightarrow m r such that re=sr e = s and βe=α\beta e = \alpha.


Enhanced factorisation systems were defined in

attributed to Max Kelly.

Last revised on June 1, 2023 at 09:43:24. See the history of this page for a list of all contributions to it.