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Fibrations in \(\infty\)-category theory. (English) Zbl 1448.18031

Wood, David R. (ed.) et al., 2016 MATRIX annals. Cham: Springer. MATRIX Book Ser. 1, 17-42 (2018).
Summary: 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.
For the entire collection see [Zbl 1394.00023].

MSC:

18N10 2-categories, bicategories, double categories
18N50 Simplicial sets, simplicial objects
55U40 Topological categories, foundations of homotopy theory