Volume 16, issue 5 (2016)

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

Volume 24
Issue 9, 4731–5219
Issue 8, 4139–4730
Issue 7, 3571–4137
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

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
On a spectral sequence for the cohomology of infinite loop spaces

Rune Haugseng and Haynes Miller

Algebraic & Geometric Topology 16 (2016) 2911–2947
Bibliography
1 A K Bousfield, Operations on derived functors of nonadditive functors, unpublished manuscript (1967)
2 A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
3 A K Bousfield, On the homology spectral sequence of a cosimplicial space, Amer. J. Math. 109 (1987) 361 MR882428
4 A K Bousfield, D M Kan, Homotopy limits, completions and localizations, 304, Springer (1972) MR0365573
5 H Cartan, Puissances divisées, from: "Séminaire Henri Cartan, 1954/1955 (Exposé 7)", Secrétariat Mathématique (1955)
6 F R Cohen, T J Lada, J P May, The homology of iterated loop spaces, 533, Springer (1976) MR0436146
7 A Dold, Homology of symmetric products and other functors of complexes, Ann. of Math. 68 (1958) 54 MR0097057
8 A Dold, D Puppe, Homologie nicht-additiver Funktoren : Anwendungen, Ann. Inst. Fourier Grenoble 11 (1961) 201 MR0150183
9 W G Dwyer, Higher divided squares in second-quadrant spectral sequences, Trans. Amer. Math. Soc. 260 (1980) 437 MR574790
10 W G Dwyer, Homotopy operations for simplicial commutative algebras, Trans. Amer. Math. Soc. 260 (1980) 421 MR574789
11 P G Goerss, Unstable projectives and stable Ext : with applications, Proc. London Math. Soc. 53 (1986) 539 MR868458
12 P G Goerss, On the André–Quillen cohomology of commutative F2–algebras, 186, Société Mathématique de France (1990) 169 MR1089001
13 P G Goerss, T J Lada, Relations among homotopy operations for simplicial commutative algebras, Proc. Amer. Math. Soc. 123 (1995) 2637 MR1260166
14 A Grothendieck, Sur quelques points d’algèbre homologique, Tôhoku Math. J. 9 (1957) 119 MR0102537
15 P Hackney, Operations in the homology spectral sequence of a cosimplicial infinite loop space, J. Pure Appl. Algebra 217 (2013) 1350 MR3019742
16 S B Isaacson, Symmetric cubical sets, preprint (2009) arXiv:0910.4948
17 D M Kan, Functors involving c.s.s. complexes, Trans. Amer. Math. Soc. 87 (1958) 330 MR0131873
18 N Kuhn, J McCarty, The mod 2 homology of infinite loopspaces, Algebr. Geom. Topol. 13 (2013) 687 MR3044591
19 J Lannes, S Zarati, Sur les foncteurs dérivés de la déstabilisation, Math. Z. 194 (1987) 25 MR871217
20 S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
21 H Miller, A spectral sequence for the homology of an infinite delooping, Pacific J. Math. 79 (1978) 139 MR526673
22 H Miller, The Sullivan conjecture on maps from classifying spaces, Ann. of Math. 120 (1984) 39 MR750716
23 H Miller, Correction to MillerSullivan, Ann. of Math. 121 (1985) 605 MR794376
24 G M L Powell, On the derived functors of destabilization at odd primes, Acta Math. Vietnam. 39 (2014) 205 MR3212661
25 D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
26 C Rezk, Every homotopy theory of simplicial algebras admits a proper model, Topology Appl. 119 (2002) 65 MR1881711
27 S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000) 491 MR1734325
28 S Schwede, B Shipley, Equivalences of monoidal model categories, Algebr. Geom. Topol. 3 (2003) 287 MR1997322
29 J P Serre, Cohomologie modulo 2 des complexes d’Eilenberg–MacLane, Comment. Math. Helv. 27 (1953) 198 MR0060234
30 W M Singer, Iterated loop functors and the homology of the Steenrod algebra, II : A chain complex for ΩskM, J. Pure Appl. Algebra 16 (1980) 85 MR549706
31 W M Singer, A new chain complex for the homology of the Steenrod algebra, Math. Proc. Cambridge Philos. Soc. 90 (1981) 279 MR620738
32 J M Turner, On simplicial commutative algebras with vanishing André–Quillen homology, Invent. Math. 142 (2000) 547 MR1804160