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Titlebook: Simplicial Methods for Higher Categories; Segal-type Models of Simona Paoli Book 2019 Springer Nature Switzerland AG 2019 Models of weak $n

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An Introduction to Higher Categoriesent, explaining the idea of higher categories, and the different classes of higher structures. We discuss one of the most important occurrences of higher categories in algebraic topology, which is the algebraic modelling of homotopy types; in particular, we give an account of the use of internal .-f
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Techniques from 2-Category Theoryr 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 .-categories to weakly globular .-fold categories. We also review in this chapter the standard categorical notions of pseudo
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Rigidifying Weakly Globular Tamsamani ,-Categoriess to weakly globular .-fold categories, as well as .-equivalences ..(.) : ... → ., natural in .. We build a functor .. from the category . of Chap. . to the category . of Segalic pseudo-functors. The approximation results of Chap. . afford a functor .. from . to .. By pre-composing .. with .. and po
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