Algebraic & Geometric Topology Volume 19, issue 6 (2019)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

A combinatorial model for the known Bousfield classes

Neil Patrick Strickland

Algebraic & Geometric Topology 19 (2019) 2677–2713

DOI: 10.2140/agt.2019.19.2677

Bibliography

1	M F Atiyah, K–theory and reality, Quart. J. Math. Oxford Ser. 17 (1966) 367 MR0206940
2	A K Bousfield, The Boolean algebra of spectra, Comment. Math. Helv. 54 (1979) 368 MR543337
3	E S Devinatz, Small ring spectra, J. Pure Appl. Algebra 81 (1992) 11 MR1173820
4	W G Dwyer, J H Palmieri, Ohkawa’s theorem : there is a set of Bousfield classes, Proc. Amer. Math. Soc. 129 (2001) 881 MR1712921
5	M J Hopkins, M Mahowald, From elliptic curves to homotopy theory, from: "Topological modular forms" (editors C L Douglas, J Francis, A G Henriques, M A Hill), Math. Surveys Monogr. 201, Amer. Math. Soc. (2014) 261 MR3328536
6	M J Hopkins, J H Smith, Nilpotence and stable homotopy theory, II, Ann. of Math. 148 (1998) 1 MR1652975
7	M Hovey, Bousfield localization functors and Hopkins’ chromatic splitting conjecture, from: "The Čech centennial" (editors M Cenkl, H Miller), Contemp. Math. 181, Amer. Math. Soc. (1995) 225 MR1320994
8	M Hovey, J H Palmieri, The structure of the Bousfield lattice, from: "Homotopy invariant algebraic structures" (editors J P Meyer, J Morava, W S Wilson), Contemp. Math. 239, Amer. Math. Soc. (1999) 175 MR1718080
9	M Hovey, N P Strickland, Morava K–theories and localisation, 666, Amer. Math. Soc. (1999) MR1601906
10	D C Johnson, W S Wilson, BP operations and Morava’s extraordinary K–theories, Math. Z. 144 (1975) 55 MR0377856
11	P T Johnstone, Stone spaces, 3, Cambridge Univ. Press (1982) MR698074
12	M Mahowald, D Ravenel, P Shick, The triple loop space approach to the telescope conjecture, from: "Homotopy methods in algebraic topology" (editors J P C Greenlees, R R Bruner, N Kuhn), Contemp. Math. 271, Amer. Math. Soc. (2001) 217 MR1831355
13	S A Mitchell, Finite complexes with A(n)–free cohomology, Topology 24 (1985) 227 MR793186
14	T Ohkawa, The injective hull of homotopy types with respect to generalized homology functors, Hiroshima Math. J. 19 (1989) 631 MR1035147
15	D C Ravenel, Localization with respect to certain periodic homology theories, Amer. J. Math. 106 (1984) 351 MR737778
16	D C Ravenel, Complex cobordism and stable homotopy groups of spheres, 121, Academic (1986) MR860042
17	D C Ravenel, Nilpotence and periodicity in stable homotopy theory, 128, Princeton Univ. Press (1992) MR1192553
18	R Wood, Banach algebras and Bott periodicity, Topology 4 (1966) 371 MR0185598