Algebraic & Geometric Topology Volume 12, issue 4 (2012)

Download this article
	For screen
	For printing

Recent 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 the algebraic classification of module spectra

Irakli Patchkoria

Algebraic & Geometric Topology 12 (2012) 2329–2388

DOI: 10.2140/agt.2012.12.2329

Bibliography

1	D Benson, H Krause, S Schwede, Realizability of modules over Tate cohomology, Trans. Amer. Math. Soc. 356 (2004) 3621 MR2055748
2	A K Bousfield, On the homotopy theory of K-local spectra at an odd prime, Amer. J. Math. 107 (1985) 895 MR796907
3	K S Brown, Abstract homotopy theory and generalized sheaf cohomology, Trans. Amer. Math. Soc. 186 (1973) 419 MR0341469
4	J D Christensen, Ideals in triangulated categories: phantoms, ghosts and skeleta, Adv. Math. 136 (1998) 284 MR1626856
5	W G Dwyer, J Spaliński, Homotopy theories and model categories, from: "Handbook of algebraic topology" (editor I M James), North-Holland (1995) 73 MR1361887
6	E Dyer, J Roitberg, Note on sequences of Mayer–Vietoris type, Proc. Amer. Math. Soc. 80 (1980) 660 MR587950
7	J Franke, Uniqueness theorems for certain triangulated categories possessing an Adams spectral sequence, preprint (1996)
8	S I Gelfand, Y I Manin, Methods of homological algebra, Springer (1996) MR1438306
9	P G Goerss, J F Jardine, Simplicial homotopy theory, 174, Birkhäuser (1999) MR1711612
10	J P C Greenlees, Rational S¹–equivariant stable homotopy theory, Mem. Amer. Math. Soc. 138 (1999) MR1483831
11	V Hinich, Homological algebra of homotopy algebras, Comm. Algebra 25 (1997) 3291 MR1465117
12	M Hovey, Model categories, 63, American Mathematical Society (1999) MR1650134
13	M Hovey, B Shipley, J Smith, Symmetric spectra, J. Amer. Math. Soc. 13 (2000) 149 MR1695653
14	D M Kan, A combinatorial definition of homotopy groups, Ann. of Math. 67 (1958) 282 MR0111032
15	S O Kochman, Integral cohomology operations, from: "Current trends in algebraic topology, Part 1" (editors R M Kane, S O Kochman, P S Selick, V P Snaith), CMS Conf. Proc. 2, Amer. Math. Soc. (1982) 437 MR686130
16	A Lazarev, Towers of MU–algebras and the generalized Hopkins–Miller theorem, Proc. London Math. Soc. 87 (2003) 498 MR1990937
17	S Mac Lane, Categories for the working mathematician, 5, Springer (1998) MR1712872
18	D G Quillen, Homotopical algebra, 43, Springer (1967) MR0223432
19	C Roitzheim, On the algebraic classification of K–local spectra, Homology, Homotopy Appl. 10 (2008) 389 MR2426109
20	Y B Rudyak, On Thom spectra, orientability, and cobordism, , Springer (1998) MR1627486
21	S Schwede, B E Shipley, Algebras and modules in monoidal model categories, Proc. London Math. Soc. 80 (2000) 491 MR1734325
22	B Shipley, Hℤ–algebra spectra are differential graded algebras, Amer. J. Math. 129 (2007) 351 MR2306038
23	R M Switzer, Algebraic topology—homotopy and homology, 212, Springer (1975) MR0385836
24	W S Wilson, The Ω–spectrum for Brown–Peterson cohomology, II, Amer. J. Math. 97 (1975) 101 MR0383390
25	J J Wolbert, Classifying modules over K–theory spectra, J. Pure Appl. Algebra 124 (1998) 289 MR1600317