A 2-categorical proof of Frobenius for fibrations defined from a generic point
Consider a locally cartesian closed category with an object I and a class of trivial fibrations, which admit sections and are stable under pushforward and retract. Define the fibrations to be those maps whose Leibniz exponential with the generic point of I defines a trivial fibration. Then the fibrations are also closed under pushforward.
- Pub Date:
- September 2022
- Mathematics - Category Theory;
- Mathematics - Algebraic Topology;
- Mathematics - Logic;
- 15 pages