Fibrations in $\infty$-category theory

Abstract

In this short expository note, we discuss, with plenty of examples, the bestiary of fibrations in quasicategory theory. We underscore the simplicity and clarity of the constructions these fibrations make available to end-users of higher category theory.

18 pages; v3: fixed more typos; incorporated suggestions of Riehl

References in corpus (1)

• On the fibrewise effective Burnside $\infty$-category

Cited by in corpus (2)

• Parametrized higher category theory and higher algebra: A general introduction
• Parametrized higher category theory and higher algebra: Exposé I -- Elements of parametrized higher category theory