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The spectra associated to ℐ-monoids

Published online by Cambridge University Press:  24 October 2008

J. P. May
J. P. May
Affiliation:
University of Chicago
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Extract

In this final sequel to (9), I shall prove a general consistency statement which seems to me to complete the foundations of infinite loop space theory. In particular, this result will specialize to yield the last step of the proof of the following theorem about the stable classifying spaces of geometric topology.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 84 , Issue 2 , September 1978 , pp. 313 - 322
Copyright
Copyright © Cambridge Philosophical Society 1978

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References

REFERENCES

(1)Adams, J. F. and Priddy, S. B.Uniqueness of BSO. Math. Proc. Cambridge Philos. Soc. 80 (1976), 475–509.Google Scholar
(2)Boardman, J. M. and Vogt, R. M.Homotopy invariant algebraic structures on topological spaces. Springer Lecture Notes in Mathematics 347 (1973).Google Scholar
(3)Friedlander, E. M. and Seymour, R. M.Two proofs of the stable Adams conjecture. Bull. Amer. Math. Soc. 83 (1977), 1300–1302.Google Scholar
(4)Madsen, I., Snaith, V. P. and Tornehave, J.Infinite loop maps in geometrie topology. Math. Proc. Cambridge Phil. Soc. 81 (1977), 399–430.CrossRefGoogle Scholar
(5)May, J. P.The geometry of iterated loop spaces. Springer Lecture Notes in Mathematics 271 (1972).CrossRefGoogle Scholar
(6)May, J. P.E ∞ spaces, group completions, and permutative categories. London Math. Soc. Lecture Note Ser. no. 11 (1974), 61–93.Google Scholar
(7)May, J. P.(with contributions by F. Quinn, N. Ray and J. Tornehave). E ∞ ring spaces and E ∞ ring spectra. Springer Lecture Notes in Mathematics 577 (1977).Google Scholar
(8)May, J. P. The spectra associated to permutative categories. Topology (to appear).Google Scholar
(9)May, J. P. and Thomason, R. The uniqueness of infinite loop space machines. Topology (to appear).Google Scholar
(10)Segal, G.Categories and cohomology theories. Topology 13 (1974), 293–312.Google Scholar
(11)Sullivan, D. Geometric topology. I. Localization, periodicity, and Galois symmetry. M.I.T. (mimeographed notes).Google Scholar