Volume 17, issue 6 (2017)

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

Volume 25, 1 issue

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
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Equivariant iterated loop space theory and permutative $G$–categories

Bertrand J Guillou and J Peter May

Algebraic & Geometric Topology 17 (2017) 3259–3339
Bibliography
1 M Ando, A J Blumberg, D Gepner, M J Hopkins, C Rezk, Units of ring spectra, orientations and Thom spectra via rigid infinite loop space theory, J. Topol. 7 (2014) 1077 MR3286898
2 M G Barratt, P J Eccles, Γ+–structures, I : A free group functor for stable homotopy theory, Topology 13 (1974) 25 MR0348737
3 J Caruso, S Waner, An approximation theorem for equivariant loop spaces in the compact Lie case, Pacific J. Math. 117 (1985) 27 MR777436
4 S R Costenoble, S Waner, Fixed set systems of equivariant infinite loop spaces, Trans. Amer. Math. Soc. 326 (1991) 485 MR1012523
5 T tom Dieck, Orbittypen und äquivariante Homologie, II, Arch. Math. (Basel) 26 (1975) 650 MR0436177
6 A W M Dress, A O Kuku, A convenient setting for equivariant higher algebraic K–theory, from: "Algebraic K–theory, Part I" (editor R K Dennis), Lecture Notes in Math. 966, Springer (1982) 59 MR689366
7 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
8 A D Elmendorf, M A Mandell, Rings, modules, and algebras in infinite loop space theory, Adv. Math. 205 (2006) 163 MR2254311
9 Z Fiedorowicz, H Hauschild, J P May, Equivariant algebraic K–theory, from: "Algebraic K–theory, Part II" (editor R K Dennis), Lecture Notes in Math. 967, Springer (1982) 23 MR689388
10 B Guillou, J P May, Models of G–spectra as presheaves of spectra, preprint (2011) arXiv:1110.3571
11 B Guillou, J P May, M Merling, Categorical models for equivariant classifying spaces, Algebr. Geom. Topol. 17 (2017) 2565 MR3704236
12 B Guillou, J P May, M Merling, A Osorno, Equivariant infinite loop space theory, II: The multiplicative Segal machine,
13 B Guillou, J P May, M Merling, A Osorno, Equivariant infinite loop space theory, III : The categorical story,
14 H Hauschild, Klassifizierende Räume, G–Konfiburations-räume und äquivariante Schleifenräume, Habilitationsschrift, Göttingen (1978)
15 H Hauschild, Äquivariante Konfigurationsräume und Abbildungsräume, from: "Topology Symposium" (editors U Koschorke, W D Neumann), Lecture Notes in Math. 788, Springer (1980) 281 MR585664
16 M A Hill, M J Hopkins, Equivariant symmetric monoidal structures, preprint (2016) arXiv:1610.03114
17 A Kuku, Representation theory and higher algebraic K–theory, 287, Chapman & Hall (2007) MR2259035
18 L G Lewis Jr., J P May, M Steinberger, J E McClure, Equivariant stable homotopy theory, 1213, Springer (1986) MR866482
19 M A Mandell, J P May, Equivariant orthogonal spectra and S–modules, 755, Amer. Math. Soc. (2002) MR1922205
20 M A Mandell, J P May, S Schwede, B Shipley, Model categories of diagram spectra, Proc. London Math. Soc. 82 (2001) 441 MR1806878
21 J P May, The geometry of iterated loop spaces, 271, Springer (1972) MR0420610
22 J P May, E spaces, group completions, and permutative categories, from: "New developments in topology" (editor G Segal), London Math. Soc. Lecture Note Ser. 11, Cambridge Univ. Press (1974) 61 MR0339152
23 J P May, Classifying spaces and fibrations, 155, Amer. Math. Soc. (1975) MR0370579
24 J P May, E ring spaces and E ring spectra, 577, Springer (1977) 268 MR0494077
25 J P May, Pairings of categories and spectra, J. Pure Appl. Algebra 19 (1980) 299 MR593258
26 J P May, Multiplicative infinite loop space theory, J. Pure Appl. Algebra 26 (1982) 1 MR669843
27 J P May, Definitions: operads, algebras and modules, from: "Operads : Proceedings of Renaissance Conferences" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math. 202, Amer. Math. Soc. (1997) 1 MR1436912
28 J P May, Operads, algebras and modules, from: "Operads : Proceedings of Renaissance Conferences" (editors J L Loday, J D Stasheff, A A Voronov), Contemp. Math. 202, Amer. Math. Soc. (1997) 15 MR1436914
29 J P May, The construction of E ring spaces from bipermutative categories, from: "New topological contexts for Galois theory and algebraic geometry" (editors A Baker, B Richter), Geom. Topol. Monogr. 16, Geom. Topol. Publ. (2009) 283 MR2544392
30 J P May, What precisely are E ring spaces and E ring spectra ?, from: "New topological contexts for Galois theory and algebraic geometry" (editors A Baker, B Richter), Geom. Topol. Monogr. 16, Geom. Topol. Publ. (2009) 215 MR2544391
31 J P May, M Merling, A Osorno, Equivariant infinite loop space theory, I: The space level story, preprint (2017) arXiv:1704.03413
32 J P May, R Thomason, The uniqueness of infinite loop space machines, Topology 17 (1978) 205 MR508885
33 M Merling, Equivariant algebraic K-theory of G–rings, Math. Z. 285 (2017) 1205 MR3623747
34 J P Meyer, Bar and cobar constructions, I, J. Pure Appl. Algebra 33 (1984) 163 MR754954
35 J P Meyer, Bar and cobar constructions, II, J. Pure Appl. Algebra 43 (1986) 179 MR866618
36 G Nishida, The transfer homomorphism in equivariant generalized cohomology theories, J. Math. Kyoto Univ. 18 (1978) 435 MR509493
37 C Rourke, B Sanderson, Equivariant configuration spaces, J. London Math. Soc. 62 (2000) 544 MR1783643
38 C Rourke, B Sanderson, The compression theorem, I, Geom. Topol. 5 (2001) 399 MR1833749
39 C Rourke, B Sanderson, The compression theorem, II : Directed embeddings, Geom. Topol. 5 (2001) 431 MR1833750
40 C Rourke, B Sanderson, The compression theorem, III : Applications, Algebr. Geom. Topol. 3 (2003) 857 MR2012956
41 P Salvatore, N Wahl, Framed discs operads and Batalin–Vilkovisky algebras, Q. J. Math. 54 (2003) 213 MR1989873
42 G Segal, Configuration-spaces and iterated loop-spaces, Invent. Math. 21 (1973) 213 MR0331377
43 K Shimakawa, Infinite loop G–spaces associated to monoidal G–graded categories, Publ. Res. Inst. Math. Sci. 25 (1989) 239 MR1003787
44 K Shimakawa, Mackey structures on equivariant algebraic K–theory, K–Theory 5 (1991/92) 355 MR1162447
45 M Shulman, Homotopy limits and colimits and enriched homotopy theory, preprint (2006) arXiv:math/0610194
46 R Steiner, A canonical operad pair, Math. Proc. Cambridge Philos. Soc. 86 (1979) 443 MR542690
47 R W Thomason, Uniqueness of delooping machines, Duke Math. J. 46 (1979) 217 MR534053