Geometry & Topology Volume 22, issue 4 (2018)

Download this article
	For screen
	For printing

Recent Issues

The Journal

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1364-0380 (online)

ISSN 1465-3060 (print)

Author Index

To Appear

Other MSP Journals

From operator categories to higher operads

Clark Barwick

Geometry & Topology 22 (2018) 1893–1959

DOI: 10.2140/gt.2018.22.1893

Bibliography

1	D W Anderson, Spectra and Γ–sets, from: "Algebraic topology" (editor A Liulevicius), Amer. Math. Soc. (1971) 23 MR0367990
2	C Barwick, On left and right model categories and left and right Bousfield localizations, Homology Homotopy Appl. 12 (2010) 245 MR2771591
3	C Barwick, D M Kan, Relative categories: another model for the homotopy theory of homotopy theories, Indag. Math. 23 (2012) 42 MR2877401
4	C Barwick, C Schommer-Pries, On the unicity of the homotopy theory of higher categories, preprint (2011) arXiv:1112.0040v1
5	M A Batanin, The Eckmann–Hilton argument and higher operads, Adv. Math. 217 (2008) 334 MR2365200
6	C Berger, Iterated wreath product of the simplex category and iterated loop spaces, Adv. Math. 213 (2007) 230 MR2331244
7	C Berger, P A Melliès, M Weber, Monads with arities and their associated theories, J. Pure Appl. Algebra 216 (2012) 2029 MR2925893
8	J M Boardman, R M Vogt, Tensor products of theories, application to infinite loop spaces, J. Pure Appl. Algebra 14 (1979) 117 MR524181
9	P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
10	A Joyal, M Tierney, Quasi-categories vs Segal spaces, from: "Categories in algebra, geometry and mathematical physics" (editors A Davydov, M Batanin, M Johnson, S Lack, A Neeman), Contemp. Math. 431, Amer. Math. Soc. (2007) 277 MR2342834
11	T Leinster, Homotopy algebras for operads, preprint (2000) arXiv:math/0002180
12	J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
13	J Lurie, Higher algebra, book project (2012)
14	J P May, R Thomason, The uniqueness of infinite loop space machines, Topology 17 (1978) 205 MR508885
15	I Moerdijk, I Weiss, Dendroidal sets, Algebr. Geom. Topol. 7 (2007) 1441 MR2366165
16	C Rezk, A model for the homotopy theory of homotopy theory, Trans. Amer. Math. Soc. 353 (2001) 973 MR1804411
17	A Robinson, Gamma homology, Lie representations and E_∞ multiplications, Invent. Math. 152 (2003) 331 MR1974890
18	G Segal, Categories and cohomology theories, Topology 13 (1974) 293 MR0353298
19	R Street, Fibrations in bicategories, Cahiers Topologie Géom. Différentielle 21 (1980) 111 MR574662
20	R W Thomason, Uniqueness of delooping machines, Duke Math. J. 46 (1979) 217 MR534053
21	B Toën, Dualité de Tannaka supérieure, I : Structures monoidale, preprint (2000)
22	M Weber, Generic morphisms, parametric representations and weakly Cartesian monads, Theory Appl. Categ. 13 (2004) 191 MR2116333
23	M Weber, Familial 2–functors and parametric right adjoints, Theory Appl. Categ. 18 (2007) 665 MR2369114