Paige North: Two-sided weak factorization systems
Time: Wed 2019-10-02 14.30 - 16.30
Location: Kräftriket, hus 5, sal 22
Lecturer: Paige North, Ohio State University
In this talk, I’ll describe intended semantics for directed type theory. We generalize the two-sided fibrations of Street to obtain a notion of two-sided weak factorization systems: structure on a category which consists of two compatible weak factorization systems. These correspond to a notion of directed path object. The long-term goal is to use the behavior of these directed path objects to reverse-engineer a directed identity type.