Algebraic & Geometric Topology Volume 17, issue 1 (2017)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

To Appear

Other MSP Journals

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

Emily Riehl and Dominic Verity

Algebraic & Geometric Topology 17 (2017) 189–271

DOI: 10.2140/agt.2017.17.189

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