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Book Review
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Book Information
Author(s):
J. F. Adams
Title:
Infinite loop spaces
Additional book information:
Ann. of Math. Studies no. 90, Princeton Univ. Press, Princeton, N. J., 1978, x + 214 pp., $14.00 (cloth), $5.50 (paper)
References:
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- J. M. Boardman and R. M. Vogt, Homotopy invariant algebraic structures on topological spaces, Lecture Notes in Math., vol. 347, Springer-Verlag, Berlin and New York, 1973. MR 420609
- 4.
- F. R. Cohen, J. P. May, and T. Lada, The homology of iterated loop spaces, Lecture Notes in Math., vol. 533, Springer-Verlag, Berlin and New York, 1976. MR 436146
- 5.
- Z. Fiedorowicz and S. B. Priddy, Homology of classical groups over finite fields and their associated infinite loop spaces, Lecture Notes in Math., vol. 674, Springer-Verlag, Berlin and New York, 1978. MR 513424
- 6.
- J. D. S. Jones, The Kervaire invariant of extended power manifolds, Topology 17 (1978), 249-266. MR 508888
- 7.
- D. S. Kahn and S. B. Priddy, The transfer and stable homotopy theory, Math. Proc. Cambridge Philos. Soc. 83 (1978), 103-111. MR 464230
- 8.
- S. O. Kochman, The homology of the classical groups over the Dyer-Lashof algebra, Trans. Amer. Math. Soc. 185 (1973), 83-136. MR 331386
- 9.
- I. Madsen and R. J. Milgram, The oriented bordism of topological manifolds and integrality relations, Ann. of Math. Studies. Princeton. (to appear). Univ. Press, Princeton, N. J..
- 10.
- I. Madsen, V. P. Snaith, and J. Tornehave, Infinite loop maps in geometric topology, Math. Proc. Cambridge Philos. Soc. 81 (1977), 399-430. MR 494076
- 11.
- M. Mahowald, A new infinite famity in ${}\sb{2}\pi\sb {*}{}\sp s$, Topology 16 (1977). 249-256. MR 445498
- 12.
- J. P. May, The geometry of iterated loop spaces, Lecture Notes in Math., vol. 271, Springer-Verlag, Berlin and New York, 1972. MR 420610
- 13.
- J. P. May (with contributions by F. Quinn, N. Ray, and J. Tornehave), E, Lecture Notes in Math., vol. 577, Springer-Verlag, Berlin and New York, 1977. MR 494077
- 14.
- J. P. May, Infinite loop space theory, Bull. Amer. Math. Soc. 83 (1977), 456-494. MR 451235
- 15.
- J. P. May, H, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc., Providence, R. I., 1978, pp. 229-244. MR 520544
- 16.
- J. P. May, Infinite loop space theory revisited, Proc. Conf. Algebra Topology, Waterloo, 1978 (to appear). MR 557188
- 17.
- J. P. May, Applications and generalizations of the approximation theorem, Proc. Conf. Algebra Topology, Aarhus, 1978 (to appear). MR 561213
- 18.
- J. P. May and R. Thomason, The uniqueness of infinite loop space machines, Topology 17 (1978), 205-224. MR 508885
- 19.
- D. McDuff and G. Segal, Homology fibrations and the "group completion" theorem, Invent. Math. 31 (1976), 279-284. MR 402733
- 20.
- G. Nishida, The nilpotency of elements of the stable homotopy groups of spheres, J. Math. Soc. Japan 25 (1973), 707-732. MR 341485
- 21.
- D. G. Quillen, On the cohomology and K-theory of the general linear groups over a finite field, Ann. of Math. 96 (1972), 552-586. MR 315016
- 22.
- G. B. Segal, Categories and cohomology theories, Topology 13 (1974), 293-312. MR 353298
- 23.
- J. D. Stasheff, Infinite loop spaces-an historical survey, Lecture Notes in Math., vol. 196, Springer-Verlag, Berlin and New York, 1971, pp. 43-53. MR 281192
- 24.
- M. Steinberger, On the equivalence of the two definitions of the algebraic K-theory of a topological space, Proc. Conf. Algebra Topology, Aarhus (to appear). MR 561228
- 25.
- F. Waldhausen, Algebraic K-theory of topological spaces. I, Proc. Sympos. Pure Math., vol. 32, Amer. Math. Soc. Providence, R. I., 1978, pp. 35-60. MR 520492
Additional Information:
Reviewer(s):
J. P.
May
Review Information:
Journal:
Bull. Amer. Math. Soc.
1
(1979),
642-646.
DOI:
10.1090/S0273-0979-1979-14647-0
PII:
S 0273-0979(1979)14647-0
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