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Book Review
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Book Information
Author(s):
Alexander Zabrodsky
Title:
Hopf spaces
Additional book information:
Mathematics Studies, No. 22, North-Holland, Amsterdam, 1976, x + 223 pp., $18.50
References:
- 1.
- J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20-104. MR 141119
- 2.
- 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
- 3.
- A. K. Bousfield and D. M. Kan, Homotopy limits, completions and localizations, Lecture Notes in Math., vol. 304, Springer-Verlag, Berlin and New York, 1972. MR 365573
- 4.
- P. Hilton, G. Mislin, and J. Roitberg, Localization of nilpotent groups and spaces, Notas de Mathemática, no. 15, North-Holland/American Elsevier, Amsterdam and New York, 1975. MR 478146
- 5.
- H. Hopf, Über die Topologie der Gruppen-Mannigfaltigkeiten und ihre Verallgemeinerungen, Ann. of Math. (2) 42 (1941), 22-52. MR 4784
- 6.
- J. R. Hubbuck, On homotopy commutative H-spaces, Topology 8 (1969), 119-126. MR 238316
- 7.
- S. Y. Husseini, The topology of classical groups and related topics, Gordon and Breach, New York, 1969. MR 267601
- 8.
- I. M. James, Bibliography on H-spaces, Lecture Notes in Math., vol. 196, Springer-Verlag, Berlin and New York, 1971, pp. 137-156. MR 281203
- 9.
- J. P. May, The geometry of iterated loop spaces, Lecture Notes in Math., vol. 271, Springer-Verlag, Berlin and New York, 1972. MR 420610
- 10.
- J. P. May, Infinite loop theory, Bull. Amer. Math. Soc. 83 (1977), 456-494. MR 451235
- 11.
- J. Milnor, Construction of universal bundles. II, Ann. of Math. (2) 63 (1956), 430-436. MR 77932
- 12.
- J. Milnor and J. C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211-264. MR 174052
- 13.
- M. Mimura, R. C. O'Neill, and H. Toda, On p-equivalence in the sense of Serre, Japan J. Math. 40 (1971), 1-10. MR 305399
- 14.
- J. Stasheff, H-spaces from a homotopy point of view, Lecture Notes in Math., vol. 161, Springer-Verlag, Berlin and New York, 1970. MR 270372
- 15.
- J. Stasheff, Review of [2] and [9], Math. Reviews 54 (1977), #8623 a, b, 1220-1222.
Additional Information:
Reviewer(s):
Martin
Arkowitz
Review Information:
Journal:
Bull. Amer. Math. Soc.
84
(1978),
929-934.
DOI:
10.1090/S0002-9904-1978-14537-6
PII:
S 0002-9904(1978)14537-6
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