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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.
|Number of pages||4|
|Journal||Proceedings of the American Mathematical Society|
|Early online date||9 Jul 2019|
|Publication status||Published - Jan 2020|
- inner anodyne
- inner fibration
- Weak factorisation system
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- 1 Finished
Monoidal categories and beyond: new contexts and new applications
Street, R., Verity, D., Lack, S., Garner, R. & MQRES Inter Tuition Fee only, M. I. T. F. O.
30/06/16 → 17/06/19