Download this article
 Download this article For screen
For printing
Recent Issues

Volume 25
Issue 6, 3145–3787
Issue 5, 2527–3144
Issue 4, 1917–2526
Issue 3, 1265–1915
Issue 2, 645–1264
Issue 1, 1–644

Volume 24, 9 issues

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 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
Smith ideals of operadic algebras in monoidal model categories

David White and Donald Yau

Algebraic & Geometric Topology 24 (2024) 341–392
Bibliography
1 M G Barratt, P J Eccles, Γ+–structures, I : A free group functor for stable homotopy theory, Topology 13 (1974) 25 MR0348737
2 C Barwick, On left and right model categories and left and right Bousfield localizations, Homology Homotopy Appl. 12 (2010) 245 MR2771591
3 M Batanin, D White, Homotopy theory of algebras of substitudes and their localisation, Trans. Amer. Math. Soc. 375 (2022) 3569 MR4402670
4 M Batanin, D White, Left Bousfield localization without left properness, J. Pure Appl. Algebra 228 (2024) 107570 MR4670515
5 J M Boardman, R M Vogt, Homotopy invariant algebraic structures on topological spaces, 347, Springer (1973) MR0420609
6 B Chorny, D White, A variant of a Dwyer–Kan theorem for model categories, preprint (2018) arXiv:1805.05378
7 H Chu, R Haugseng, Enriched –operads, Adv. Math. 361 (2020) 106913 MR4038556
8 B I Dundas, O Röndigs, P A Østvær, Enriched functors and stable homotopy theory, Doc. Math. 8 (2003) 409 MR2029170
9 A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, 47, Amer. Math. Soc. (1997) MR1417719
10 Z Fiedorowicz, Constructions of En operads, preprint (1998) arXiv:math/9808089
11 B Fresse, Homotopy of operads and Grothendieck–Teichmüller groups, I : The algebraic theory and its topological background, 217, Amer. Math. Soc. (2017) MR3643404
12 E Getzler, J D S Jones, Operads, homotopy algebra and iterated integrals for double loop spaces, preprint (1994) arXiv:hep-th/9403055
13 R Haugseng, Algebras for enriched –operads, preprint (2019) arXiv:1909.10042
14 M Hausmann, G–symmetric spectra, semistability and the multiplicative norm, J. Pure Appl. Algebra 221 (2017) 2582 MR3646319
15 P S Hirschhorn, Model categories and their localizations, 99, Amer. Math. Soc. (2003) MR1944041
16 M Hovey, Model categories, 63, Amer. Math. Soc. (1999) MR1650134
17 M Hovey, Spectra and symmetric spectra in general model categories, J. Pure Appl. Algebra 165 (2001) 63 MR1860878
18 M Hovey, Smith ideals of structured ring spectra, preprint (2014) arXiv:1401.2850
19 M Hovey, D White, An alternative approach to equivariant stable homotopy theory, Tbilisi Math. J. 2020 special issue (2020) 51
20 M W Johnson, D Yau, On homotopy invariance for algebras over colored PROPs, J. Homotopy Relat. Struct. 4 (2009) 275 MR2559644
21 N Johnson, D Yau, Bimonoidal categories, En–monoidal categories, and algebraic K–theory, III, preprint (2021)
22 J Lurie, Higher topos theory, 170, Princeton Univ. Press (2009) MR2522659
23 J Lurie, Higher algebra, book project (2017)
24 S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
25 M A Mandell, Equivariant symmetric spectra, from: "Homotopy theory : relations with algebraic geometry, group cohomology, and algebraic K–theory" (editors P Goerss, S Priddy), Contemp. Math. 346, Amer. Math. Soc. (2004) 399 MR2066508
26 M Markl, Models for operads, Comm. Algebra 24 (1996) 1471 MR1380606
27 J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
28 G L Monaco, Vopěnka’s principle in –categories, preprint (2021) arXiv:2105.04251
29 F Muro, Homotopy theory of nonsymmetric operads, Algebr. Geom. Topol. 11 (2011) 1541 MR2821434
30 D Pavlov, J Scholbach, Admissibility and rectification of colored symmetric operads, J. Topol. 11 (2018) 559 MR3830876
31 C Polcino Milies, S K Sehgal, An introduction to group rings, 1, Kluwer (2002) MR1896125
32 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
33 C Rezk, A model category for categories, preprint (2000)
34 S Schwede, Global homotopy theory, 34, Cambridge Univ. Press (2018) MR3838307
35 S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. Lond. Math. Soc. 80 (2000) 491 MR1734325
36 J D Stasheff, Homotopy associativity of H–spaces, I, Trans. Amer. Math. Soc. 108 (1963) 275 MR158400
37 J D Stasheff, Homotopy associativity of H–spaces, II, Trans. Amer. Math. Soc. 108 (1963) 293 MR0158400
38 D White, Model structures on commutative monoids in general model categories, J. Pure Appl. Algebra 221 (2017) 3124 MR3666740
39 D White, Substitudes, Bousfield localization, higher braided operads, and Baez–Dolan stabilization, Oberwolfach Rep. 46 (2021) 56
40 D White, Monoidal Bousfield localizations and algebras over operads, from: "Equivariant topology and derived algebra" (editors S Balchin, D Barnes, M Kędziorek, M Szymik), Lond. Math. Soc. Lect. Note Ser. 474, Cambridge Univ. Press (2022) 180 MR4327101
41 D White, M Batanin, Baez–Dolan stabilization via (semi-)model categories of operads, from: "Interactions between representation theory, algebraic topology and commutative algebra" (editors D Herbera, W Pitsch, S Zarzuela), Trends Math. 5, Birkhäuser (2015) 175
42 D White, D Yau, Bousfield localization and algebras over colored operads, Appl. Categ. Structures 26 (2018) 153 MR3749666
43 D White, D Yau, Comonadic coalgebras and Bousfield localization, preprint (2018) arXiv:1805.11536
44 D White, D Yau, Arrow categories of monoidal model categories, Math. Scand. 125 (2019) 185 MR4031046
45 D White, D Yau, Homotopical adjoint lifting theorem, Appl. Categ. Structures 27 (2019) 385 MR3975894
46 D White, D Yau, Right Bousfield localization and operadic algebras, Tbilisi Math. J. 2020 special issue (2020) 71
47 D White, D Yau, Right Bousfield localization and Eilenberg–Moore categories, High. Struct. 7 (2023) 22 MR4600456
48 D Yau, Colored operads, 170, Amer. Math. Soc. (2016) MR3444662
49 D Yau, M W Johnson, A foundation for PROPs, algebras, and modules, 203, Amer. Math. Soc. (2015) MR3329226