Algebraic & Geometric Topology Volume 23, issue 7 (2023)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

Subscriptions

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author index

To appear

Other MSP journals

Operads in unstable global homotopy theory

Miguel Barrero

Algebraic & Geometric Topology 23 (2023) 3293–3355

DOI: 10.2140/agt.2023.23.3293

Bibliography

1	M Barrero, Global N_∞–operads, Bull. Lond. Math. Soc. 55 (2023) 1275 MR4605670
2	M A Batanin, C Berger, Homotopy theory for algebras over polynomial monads, Theory Appl. Categ. 32 (2017) 148 MR3607212
3	C Berger, I Moerdijk, Axiomatic homotopy theory for operads, Comment. Math. Helv. 78 (2003) 805 MR2016697
4	A J Blumberg, M A Hill, Operadic multiplications in equivariant spectra, norms, and transfers, Adv. Math. 285 (2015) 658 MR3406512
5	F Borceux, Handbook of categorical algebra, II : Categories and structures, 51, Cambridge Univ. Press (1994) MR1313497
6	T Bröcker, T tom Dieck, Representations of compact Lie groups, 98, Springer (1985) MR781344
7	A D Elmendorf, M A Mandell, Rings, modules, and algebras in infinite loop space theory, Adv. Math. 205 (2006) 163 MR2254311
8	M A Erdal, A Güçlükan .Ilhan, A model structure via orbit spaces for equivariant homotopy, J. Homotopy Relat. Struct. 14 (2019) 1131 MR4025600
9	B Fresse, Modules over operads and functors, 1967, Springer (2009) MR2494775
10	S Gorchinskiy, V Guletskiĭ, Symmetric powers in abstract homotopy categories, Adv. Math. 292 (2016) 707 MR3464032
11	B J Guillou, J P May, Equivariant iterated loop space theory and permutative G–categories, Algebr. Geom. Topol. 17 (2017) 3259 MR3709647
12	J E Harper, Homotopy theory of modules over operads in symmetric spectra, Algebr. Geom. Topol. 9 (2009) 1637 MR2539191
13	M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
14	S Illman, The equivariant triangulation theorem for actions of compact Lie groups, Math. Ann. 262 (1983) 487 MR696520
15	T Lenz, G–global homotopy theory and algebraic K–theory, preprint (2020) arXiv:2012.12676
16	L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
17	J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
18	J P May, A concise course in algebraic topology, Univ. Chicago Press (1999) MR1702278
19	D Pavlov, J Scholbach, Admissibility and rectification of colored symmetric operads, J. Topol. 11 (2018) 559 MR3830876
20	D Pavlov, J Scholbach, Homotopy theory of symmetric powers, Homology Homotopy Appl. 20 (2018) 359 MR3785971
21	S Sagave, C Schlichtkrull, Diagram spaces and symmetric spectra, Adv. Math. 231 (2012) 2116 MR2964635
22	S Schwede, Global homotopy theory, 34, Cambridge Univ. Press (2018) MR3838307
23	S Schwede, Global stable splittings of Stiefel manifolds, Doc. Math. 27 (2022) 789 MR4452225
24	S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000) 491 MR1734325
25	M Spitzweck, Operads, algebras and modules in general model categories, part of PhD thesis (2001) arXiv:math/0101102
26	D White, D Yau, Bousfield localization and algebras over colored operads, Appl. Categ. Structures 26 (2018) 153 MR3749666