Algebraic & Geometric Topology Volume 5, issue 4 (2005)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Interests

Subscriptions

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Author Index

To Appear

Other MSP Journals

$I$–adic towers in topology

Samuel Wüthrich

Algebraic & Geometric Topology 5 (2005) 1589–1635

DOI: 10.2140/agt.2005.5.1589

Bibliography

1	A Baker, $A_\infty$ structures on some spectra related to Morava $K$–theories, Quart. J. Math. Oxford Ser. $(2)$ 42 (1991) 403 MR1135302
2	A Baker, A Lazarev, On the Adams spectral sequence for $R$–modules, Algebr. Geom. Topol. 1 (2001) 173 MR1823498
3	A Baker, B Richter, On the $\Gamma$–cohomology of rings of numerical polynomials and $E_{\infty}$ structures on $K$–theory, Comment. Math. Helv. 80 (2005) 691 MR2182697
4	A Baker, U Würgler, Liftings of formal groups and the Artinian completion of $v_n^{-1}\mathrm{BP}$, Math. Proc. Cambridge Philos. Soc. 106 (1989) 511 MR1010375
5	A Baker, U Würgler, Bockstein operations in Morava $K$–theories, Forum Math. 3 (1991) 543 MR1129998
6	J M Boardman, Stable operations in generalized cohomology, from: "Handbook of algebraic topology", North-Holland (1995) 585 MR1361899
7	J M Boardman, Conditionally convergent spectral sequences, from: "Homotopy invariant algebraic structures (Baltimore, MD, 1998)", Contemp. Math. 239, Amer. Math. Soc. (1999) 49 MR1718076
8	A K Bousfield, The localization of spectra with respect to homology, Topology 18 (1979) 257 MR551009
9	J D Christensen, Ideals in triangulated categories: phantoms, ghosts and skeleta, Adv. Math. 136 (1998) 284 MR1626856
10	S Eilenberg, J C Moore, Foundations of relative homological algebra, Mem. Amer. Math. Soc. No. 55 (1965) 39 MR0178036
11	A D Elmendorf, I Kriz, M A Mandell, J P May, Rings, modules, and algebras in stable homotopy theory, Mathematical Surveys and Monographs 47, American Mathematical Society (1997) MR1417719
12	P G Goerss, M J Hopkins, Moduli spaces of commutative ring spectra, from: "Structured ring spectra", London Math. Soc. Lecture Note Ser. 315, Cambridge Univ. Press (2004) 151 MR2125040
13	J P C Greenlees, J P May, Completions in algebra and topology, from: "Handbook of algebraic topology", North-Holland (1995) 255 MR1361892
14	M J Hopkins, N J Kuhn, D C Ravenel, Generalized group characters and complex oriented cohomology theories, J. Amer. Math. Soc. 13 (2000) 553 MR1758754
15	M Hovey, J H Palmieri, N P Strickland, Axiomatic stable homotopy theory, Mem. Amer. Math. Soc. 128 (1997) MR1388895
16	M Hovey, N P Strickland, Morava $K$–theories and localisation, Mem. Amer. Math. Soc. 139 (1999) MR1601906
17	J Hunton, The Morava $K$–theories of wreath products, Math. Proc. Cambridge Philos. Soc. 107 (1990) 309 MR1027783
18	D Husemoller, J C Moore, Differential graded homological algebra of several variables, from: "Symposia Mathematica, Vol IV (INDAM, Rome, 1968/69)", Academic Press (1970) 397 MR0310040
19	C U Jensen, Les foncteurs dérivés de $\varprojlim$ et leurs applications en théorie des modules, Lecture Notes in Mathematics 254, Springer (1972) MR0407091
20	I Kriz, Morava $K$–theory of classifying spaces: some calculations, Topology 36 (1997) 1247 MR1452850
21	I Kriz, K P Lee, Odd-degree elements in the Morava $K(n)$ cohomology of finite groups, Topology Appl. 103 (2000) 229 MR1758436
22	S Mac Lane, Homology, Classics in Mathematics, Springer (1995) MR1344215
23	S Mac Lane, Categories for the working mathematician, Graduate Texts in Mathematics 5, Springer (1998) MR1712872
24	H Matsumura, Commutative ring theory, Cambridge Studies in Advanced Mathematics 8, Cambridge University Press (1989) MR1011461
25	J P May, $E_{\infty }$ ring spaces and $E_{\infty }$ ring spectra, Lecture Notes in Mathematics 577, Springer (1977) 268 MR0494077
26	H R Miller, On relations between Adams spectral sequences, with an application to the stable homotopy of a Moore space, J. Pure Appl. Algebra 20 (1981) 287 MR604321
27	D C Ravenel, Morava $K$–theories and finite groups, from: "Symposium on Algebraic Topology in honor of José Adem (Oaxtepec, 1981)", Contemp. Math. 12, Amer. Math. Soc. (1982) 289 MR676336
28	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, Pure and Applied Mathematics 121, Academic Press (1986) MR860042
29	D C Ravenel, Nilpotence and periodicity in stable homotopy theory, Annals of Mathematics Studies 128, Princeton University Press (1992) MR1192553
30	L Smith, On realizing complex bordism modules. Applications to the stable homotopy of spheres, Amer. J. Math. 92 (1970) 793 MR0275429
31	N P Strickland, Morava $E$–theory of symmetric groups, Topology 37 (1998) 757 MR1607736
32	N P Strickland, Products on $\mathrm{MU}$–modules, Trans. Amer. Math. Soc. 351 (1999) 2569 MR1641115
33	C A Weibel, An introduction to homological algebra, Cambridge Studies in Advanced Mathematics 38, Cambridge University Press (1994) MR1269324
34	S Wüthrich, Multiplicative structures on $I$–adic towers, in preparation
35	S Wüthrich, Homology of $I$–adic towers arXiv:math.AC/0411187
36	S Wüthrich, Homology of powers of regular ideals, Glasg. Math. J. 46 (2004) 571 MR2094811