Volume 17, issue 5 (2017)

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

Volume 19
Issue 6, 2677–3215
Issue 5, 2151–2676
Issue 4, 1619–2150
Issue 3, 1079–1618
Issue 2, 533–1078
Issue 1, 1–532

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

Author Index
The Journal
About the Journal
Editorial Board
Subscriptions
Editorial Interests
Editorial Procedure
Submission Guidelines
Submission Page
Ethics Statement
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
To Appear
 
Other MSP Journals
Higher Toda brackets and the Adams spectral sequence in triangulated categories

J Daniel Christensen and Martin Frankland

Algebraic & Geometric Topology 17 (2017) 2687–2735
Bibliography
1 J F Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. 72 (1960) 20 MR0141119
2 J F Adams, Stable homotopy and generalised homology, Univ. of Chicago Press (1974) MR0402720
3 P Balmer, Triangulated categories with several triangulations, (2002)
4 T Barthel, J P May, E Riehl, Six model structures for DG-modules over DGAs : model category theory in homological action, New York J. Math. 20 (2014) 1077 MR3291613
5 H J Baues, D Blanc, Higher order derived functors and the Adams spectral sequence, J. Pure Appl. Algebra 219 (2015) 199 MR3250522
6 H J Baues, M Jibladze, Secondary derived functors and the Adams spectral sequence, Topology 45 (2006) 295 MR2193337
7 H J Baues, M Jibladze, Dualization of the Hopf algebra of secondary cohomology operations and the Adams spectral sequence, J. K-Theory 7 (2011) 203 MR2787297
8 D Benson, H Krause, S Schwede, Realizability of modules over Tate cohomology, Trans. Amer. Math. Soc. 356 (2004) 3621 MR2055748
9 N Bourbaki, Commutative algebra, Chapters 1–7, Hermann (1972) MR0360549
10 R R Bruner, An Adams spectral sequence primer, (2009)
11 J F Carlson, Modules and group algebras, Birkhäuser (1996) MR1393196
12 S K Chebolu, J D Christensen, J Mináč, Ghosts in modular representation theory, Adv. Math. 217 (2008) 2782 MR2397466
13 J D Christensen
14 J D Christensen, Ideals in triangulated categories: phantoms, ghosts and skeleta, Adv. Math. 136 (1998) 284 MR1626856
15 J M Cohen, The decomposition of stable homotopy, Ann. of Math. 87 (1968) 305 MR0231377
16 S Eilenberg, J C Moore, Homology and fibrations, I : Coalgebras, cotensor product and its derived functors, Comment. Math. Helv. 40 (1966) 199 MR0203730
17 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
18 S I Gelfand, Y I Manin, Methods of homological algebra, Springer (2003) MR1950475
19 J R Harper, Secondary cohomology operations, 49, Amer. Math. Soc. (2002) MR1913285
20 A Heller, Stable homotopy categories, Bull. Amer. Math. Soc. 74 (1968) 28 MR0224090
21 M Hovey, J H Palmieri, N P Strickland, Axiomatic stable homotopy theory, 610, Amer. Math. Soc. (1997) MR1388895
22 M Hovey, N P Strickland, Morava K–theories and localisation, 666, Amer. Math. Soc. (1999) MR1601906
23 S Klaus, Towers and pyramids, I, Forum Math. 13 (2001) 663 MR1858494
24 S O Kochman, Uniqueness of Massey products on the stable homotopy of spheres, Canad. J. Math. 32 (1980) 576 MR586976
25 I Kříž, J P May, Operads, algebras, modules and motives, 233, Soc. Math. France (1995) MR1361938
26 H R Margolis, Spectra and the Steenrod algebra, 29, North-Holland (1983) MR738973
27 A Mathew, Second homotopy group of the mod 2 Moore spectrum
28 C R F Mauder, On the differentials in the Adams spectral sequence, Proc. Cambridge Philos. Soc. 60 (1964) 409 MR0167980
29 C R F Maunder, Cohomology operations of the Nth kind, Proc. London Math. Soc. 13 (1963) 125 MR0211398
30 J C McKeown, Toda bracket, (2012)
31 L Meier, United elliptic homology, PhD thesis, Universität Bonn (2012)
32 R E Mosher, M C Tangora, Cohomology operations and applications in homotopy theory, Harper & Row (1968) MR0226634
33 A Neeman, Triangulated categories, 148, Princeton Univ. Press (2001) MR1812507
34 I Patchkoria, On the algebraic classification of module spectra, Algebr. Geom. Topol. 12 (2012) 2329 MR3020210
35 D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic Press (1986) MR860042
36 S Sagave, Universal Toda brackets of ring spectra, Trans. Amer. Math. Soc. 360 (2008) 2767 MR2373333
37 S Schwede, Algebraic versus topological triangulated categories, from: "Triangulated categories" (editors T Holm, P Jørgensen, R Rouquier), London Math. Soc. Lecture Note Ser. 375, Cambridge Univ. Press (2010) 389 MR2681714
38 S Schwede, Symmetric spectra, preprint (2012)
39 S Schwede, B Shipley, Stable model categories are categories of modules, Topology 42 (2003) 103 MR1928647
40 B Shipley, An algebraic model for rational S1–equivariant stable homotopy theory, Q. J. Math. 53 (2002) 87 MR1887672
41 B Shipley, H–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038
42 E Spanier, Higher order operations, Trans. Amer. Math. Soc. 109 (1963) 509 MR0158399
43 H Toda, Composition methods in homotopy groups of spheres, 49, Princeton Univ. Press (1962) MR0143217
44 C A Weibel, An introduction to homological algebra, 38, Cambridge Univ. Press (1994) MR1269324