Internal split opfibrations, lenses, and decalage
Bryce Clarke – 27 November 2019
In ordinary category theory, split opfibrations are functors equipped with a suitable choice of opcartesian lifts. In this talk, I will show how this elementary definition of a split opfibration may be generalised to the setting of internal category theory. The main result will be to characterise internal split opfibrations as internal lenses which satisfy a property with respect to the decalage comonad.
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