#### Volume 17, issue 1 (2017)

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Kan extensions and the calculus of modules for $\infty$–categories

### Emily Riehl and Dominic Verity

Algebraic & Geometric Topology 17 (2017) 189–271
##### Bibliography
 1 C Barwick, C Schommer-Pries, On the unicity of the homotopy theory of higher categories, (2011) arXiv:1112.0040 2 G S H Cruttwell, M A Shulman, A unified framework for generalized multicategories, Theory Appl. Categ. 24 (2010) 580 MR2770076 3 R Haugseng, Bimodules and natural transformations for enriched ∞–categories, Homology Homotopy Appl. 18 (2016) 71 MR3474202 4 A Heller, Homotopy theories, 383, Amer. Math. Soc. (1988) MR920963 5 A Joyal, Quasi-categories and Kan complexes, J. Pure Appl. Algebra 175 (2002) 207 MR1935979 6 T Leinster, fc–multicategories, (1999) arXiv:math/9903004 7 T Leinster, Generalized enrichment for categories and multicategories, (1999) arXiv:math/9901139 8 T Leinster, Generalized enrichment of categories, J. Pure Appl. Algebra 168 (2002) 391 MR1887166 9 J Lurie, Higher topos theory, 170, Princeton University Press (2009) MR2522659 10 J Lurie, Higher algebra, (2014) 11 E Riehl, D Verity, The 2–category theory of quasi-categories, Adv. Math. 280 (2015) 549 MR3350229 12 E Riehl, D Verity, Completeness results for quasi-categories of algebras, homotopy limits, and related general constructions, Homology Homotopy Appl. 17 (2015) 1 MR3338539 13 E Riehl, D Verity, Homotopy coherent adjunctions and the formal theory of monads, Adv. Math. 286 (2016) 802 MR3415698 14 E Riehl, D Verity, Fibrations and Yoneda’s lemma in an ∞–cosmos, J. Pure Appl. Algebra 221 (2017) 499 15 E Riehl, D Verity, Yoneda structures and the calculus of modules for quasi-categories 16 E Riehl, D Verity, On model independence and general change of base for ∞–category theories, 17 M Shulman, Enriched indexed categories, Theory Appl. Categ. 28 (2013) 616 MR3094435 18 R Street, Elementary cosmoi, I, from: "Category Seminar" (editor G M Kelly), Springer (1974) MR0354813 19 D Verity, Enriched categories, internal categories and change of base, Repr. Theory Appl. Categ. (2011) 1 MR2844536 20 M Weber, Yoneda structures from 2–toposes, Appl. Categ. Structures 15 (2007) 259 MR2320763 21 R J Wood, Abstract proarrows, I, Cahiers Topologie Géom. Différentielle 23 (1982) 279 MR675339 22 R J Wood, Proarrows, II, Cahiers Topologie Géom. Différentielle Catég. 26 (1985) 135 MR794752