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Techniques from 2-Category Theory

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Simplicial Methods for Higher Categories

Part of the book series: Algebra and Applications ((AA,volume 26))

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Abstract

In this chapter we review another set of techniques crucial to this work, namely techniques from 2-category theory. We recall pseudo-functors and their strictification, as well as a standard technique to produce pseudo-functors. These techniques will be used to build the rigidification functor from weakly globular Tamsamani n-categories to weakly globular n-fold categories. We also review in this chapter the standard categorical notions of pseudo-pullback and isofibration.

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Paoli, S. (2019). Techniques from 2-Category Theory. In: Simplicial Methods for Higher Categories. Algebra and Applications, vol 26. Springer, Cham. https://doi.org/10.1007/978-3-030-05674-2_4

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