A 2-categorical proof of Frobenius for fibrations defined from a generic point
Published:
"A 2-categorical proof of Frobenius for fibrations defined from a generic point", joint work with Emily Riehl arXiv:2110.14576, 2022. 15 pages.
Abstract:
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.
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