Displayed categories
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If you have a question about this talk, please contact Tamara von Glehn.
Displayed categories formalize the activity of building new categories from old ones by considering `objects with structure’.
They also allow one to give a simple definition of fibration without referring to equality of objects.
In my talk, I develop some `displayed category theory’. I then give some use cases: first, the construction of an equivalence of categories between cwf structures and split type structures, and second, a proof of the Structure Identity Principle using displayed category theory.
Afterwards I discuss the definition of fibrations in terms of displayed
categories.
This is joint work with Peter Lumsdaine.
This talk is part of the Category Theory Seminar series.
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