Volume 16, issue 5 (2016)

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

Volume 25
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
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1 A K Bousfield, Operations on derived functors of nonadditive functors, unpublished manuscript (1967)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