41 citations · 136 across the 32 of their papers we have counts for
Showing 2018Show all
3 papers · 1 filter
math.CT2018★ 33 cited
Categorical notions of fibration
Fosco Loregian, Emily Riehl
Fibrations over a category , introduced to category theory by Grothendieck, encode pseudo-functors , while the special case of discrete fibrat…
math.CT2018★ 6 cited
Accessibility and presentability in 2-categories
Ivan Di Liberti, Fosco Loregian
We outline a definition of accessible and presentable objects in a 2-category endowed with a "KZ context", that is to say a pair of lax-idempotent monads interacting i…
math.CT2018★ 1 cited
Localization theory for derivators
Fosco Loregian
We outline the theory of reflections for prederivators, derivators and stable derivators. In order to parallel the classical theory valid for categories, we outline how reflections…