Hostname: page-component-7bb8b95d7b-fmk2r Total loading time: 0 Render date: 2024-09-27T02:10:51.123Z Has data issue: false hasContentIssue false

Atomic spaces and spectra

Published online by Cambridge University Press:  20 January 2009

J. F. Adams
Affiliation:
Department of MathematicsUniversity of VirginiaCharlottesville, Va 22903, USA
N. J. Kuhn
Affiliation:
Department of MathematicsUniversity of VirginiaCharlottesville, Va 22903, USA
Rights & Permissions [Opens in a new window]

Extract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

1. The subject-matter of this paper is in some sense known; but we will try to organise, explain and reprove it, and to give examples.

Type
Research Article
Copyright
Copyright © Edinburgh Mathematical Society 1989

References

REFERENCES

1.Adams, J. F., J. H. Gunawardena and H. Miller, The Segal conjecture for elementary abelian p-groups, Topology 24 (1985), 435460.CrossRefGoogle Scholar
2.Bryant, R. M. and Kovacs, L. G., Lie representations and groups of prime power order, J. London Math. Soc. 17 (1978), 415421.CrossRefGoogle Scholar
3.Cohen, F. R. and Mahowald, M. E., A remark on the self-maps of Ω2S 2n+1, Indiana Univ. Math.J. 30 (1981), 583588.CrossRefGoogle Scholar
4.Cohen, F. R., Moore, J. C. and Neisendorfer, J. A., Moore spaces have exponents, preprint, circa 1981.Google Scholar
5.Cohen, F. R., Moore, J. C. and Neisendorfer, J. A., Exponents in homotopy theory, in Algebraic Topology and Algebraic K-Theory (Annals of Mathematics Studies no. 113, Princeton University Press 1987), 334.Google Scholar
6.Freyd, P. J., Stable homotopy, in Proceedings of the Conference on Categorical Algebra, La Jolla 1965 (Springer 1966), 121172.CrossRefGoogle Scholar
7.Harris, J. C. and Kuhn, N. J., Stable decompositions of classifying spaces of finite abelian p-groups, Math. Proc. Cambridge Philos. Soc. 103 (1988), 427449.CrossRefGoogle Scholar
8.Huppert, B. and Blackburn, N., Finite Groups II (Springer 1982).CrossRefGoogle Scholar
9.Margolis, H. R., Spectra and Steenrod Algebra (North-Holland 1983).Google Scholar
10.May, J. P., Stable maps between classifying spaces, Contemp. Math. 37 (1985), 121129.CrossRefGoogle Scholar
11.Nishida, G., Stable homotopy type of classifying spaces of finite groups, in Algebraic and Topological Theories—to the Memory of Dr Takehiko Miyata (Kinokuniya, Tokyo 1985), 391404.Google Scholar
12.Selick, P. S., On the indecomposability of certain sphere-related spaces (Canadian Math. Soc. Conference Proceedings Vol. 2, Part 1, 1982), 359372.Google Scholar
13.Sullivan, D., Genetics of homotopy theory and the Adams conjecture, Ann. of Math. 100 (1974), 179.CrossRefGoogle Scholar
14.Wilkerson, C. W., Genus and cancellation, Topology 14 (1975), 2936.CrossRefGoogle Scholar