Article contents
Characteristic Classes for Spherical Fiber Spaces
Published online by Cambridge University Press: 22 January 2016
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.
Let SF = SG denote the space , and BSF be the classifying space of SF. Our purpose is to determine H*(BSF: Zp) as a Hopf algebra over Zp where p is an odd prime number. We have announced the main result in [14].
- Type
- Research Article
- Information
- Copyright
- Copyright © Editorial Board of Nagoya Mathematical Journal 1971
References
[1]
Adem, J., The Relations on Steenrod Reduced Powers of Cohomology Classes. Algebraic geometry and Topology. Princeton.Google Scholar
[2]
Araki, S. and Kudo, , Topology of H
n-spaces and H-squring operations, Memories of the Faculty of Science, Kyushu Univ.
10. 85–120 (1956).Google Scholar
[3]
Browder, W., On differentiable Hopf algebras. Transaction of the Amer. Math. 153–176 (1963).CrossRefGoogle Scholar
[4]
Dyer, E. and Lashof, R.K., Homology of iterated loop spaces, Amer. J. Math. 84. 35–88 (1962).CrossRefGoogle Scholar
[5]
Hall, I.M., The generalized Whitney sum. Quart. J. Math.
16. 360–384 (1965).CrossRefGoogle Scholar
[6]
Kambe, T., The structure of KΛ-rings of the lens spaces and their Applications. Jour. Math. Soc. of Japan, 18. 135–146 (1966).Google Scholar
[8]
Milnor, J., On characteristic classes for spherical fiber spaces, Comment. Math. Helv.
43. 51–77 (1968).CrossRefGoogle Scholar
[9]
Milnor, J. and Moore, J.C., On the structure of Hopf algebras, Ann. of Math.
81. 211–264 (1965).CrossRefGoogle Scholar
[10]
Nakaoka, M., Cohomology theory of a complex with a transformation of prime period and its applications, Jour, of the Inst. Poly. Osaka City Univ. 7.
52–101 (1956).Google Scholar
[11]
Nishida, G., Cohomology Operations in iterated loop spaces, Proc. of the Japan acad. 44, No. 3. 104–109 (1968).Google Scholar
[12]
Peterson, F.K. and Toda, H., On the structure H*(BSF:Zp)
Jour, of Math, of Kyoto Univ. Vol. 7. No. 2. 113–121 (1967).Google Scholar
[14]
Tsuchiya, A., Characteristic classes for spherical fiber spaces, Proc. of the Japan acad., 44. No. 7, 617–622 (1968).Google Scholar
[15]
Tsuchiya, A., Characteristic classes for P.L.-micro bundles, Nagoya Math. Journal. Vol 43.Google Scholar
- 13
- Cited by