Book Review
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MathSciNet review:
1567814
Full text of review:
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Book Information:
Author:
R. M. Kane
Title:
The homology of Hopf spaces
Additional book information:
North-Holland, Amsterdam, New York, Oxford and Tokyo, 1988, xv + 479 pp., $105.25. ISBN 0-444-70464-7.
J. Aguadé, A note on realizing polynomial algebras, Israel J. Math. 38 (1981), no. 1-2, 95–99. MR 599479, DOI 10.1007/BF02761852
Daciberg Lima Gonçalves, Mod $2$ homotopy-associative $H$-spaces, Geometric applications of homotopy theory (Proc. Conf., Evanston, Ill., 1977) Lecture Notes in Math., vol. 657, Springer, Berlin, 1978, pp. 198–216. MR 513550
Yutaka Hemmi, Homotopy associative $H$-spaces and $3$-regularities, Mem. Fac. Sci. Kochi Univ. Ser. A Math. 7 (1986), 17–31. MR 825202
J. R. Hubbuck, Products with the seven sphere and homotopy associativity, Mem. Fac. Sci. Kyushu Univ. Ser. A 40 (1986), no. 2, 91–100. MR 858979, DOI 10.2206/kyushumfs.40.91
Norio Iwase, $H$-spaces with generating subspaces, Proc. Roy. Soc. Edinburgh Sect. A 111 (1989), no. 3-4, 199–211. MR 1007521, DOI 10.1017/S0308210500018515
James P. Lin, The rational cohomology of finite loop spaces, J. Pure Appl. Algebra 53 (1988), no. 1-2, 71–73. MR 955611, DOI 10.1016/0022-4049(88)90013-8
James P. Lin, Steenrod connections and connectivity in $H$-spaces, Mem. Amer. Math. Soc. 68 (1987), no. 369, vi+87. MR 897473, DOI 10.1090/memo/0369
James P. Lin and Frank Williams, Two torsion and homotopy associative $H$-spaces, J. Math. Kyoto Univ. 30 (1990), no. 3, 523–541. MR 1075302, DOI 10.1215/kjm/1250520029
9. M. Slack, Unstable secondary operations for iterated loop spaces, preprint.
- 1.
- J. Aguade, A note on realizing polynomial algebras, Israel J. Math. 38 (1981), 95-99. MR 0599479
- 2.
- D. Goncalves, Mod 2 homotopy associative H-spaces, Lecture Notes in Math., vol. 657, Springer-Verlag, Berlin and New York, 1978, pp, pp. 198-216. MR 513550
- 3.
- Y. Hemmi, Homotopy associative H-spaces and 3-regularities, Mem. Fac. Sci. Kochi Univ. 7 (1986), 17-31. MR 825202
- 4.
- J. Hubbuck, Products with the seven sphere and homotopy associativity, Mem. Fac. Sci. Kyushu Univ. Ser A. 40 (1986), 91-100. MR 858979
- 5.
- N. Iwase, H-spaces with generating subspaces, preprint. MR 1007521
- 6.
- J. Lin, The rational cohomology of finite loop spaces, J. Pure Appl. Algebra 53 (1988), 71-73. MR 955611
- 7.
- J. Lin, Steenrod connections and connectivity in H-spaces, Mem. Amer. Math. Soc., no. 68, Providence, R. I., 1987. MR 897473
- 8.
- J. Lin and F. Williams, Two torsion and homotopy associative H-spaces, Kyoto J. (to appear). MR 1075302
- 9.
- M. Slack, Unstable secondary operations for iterated loop spaces, preprint.
Review Information:
Reviewer:
James P. Lin
Journal:
Bull. Amer. Math. Soc.
21 (1989), 339-345
DOI:
https://doi.org/10.1090/S0273-0979-1989-15853-9
