A counterexample in quasi-category theory

27 May 2019  ·  Campbell Alexander ·

We give an example of a morphism of simplicial sets which is a monomorphism, bijective on 0-simplices, and a weak categorical equivalence, but which is not inner anodyne. This answers an open question of Joyal... Furthermore, we use this morphism to refute a plausible description of the class of fibrations in Joyal's model structure for quasi-categories. read more

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Algebraic Topology Category Theory