Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A mod $ p$ Whitehead theorem


Author: Stephen J. Schiffman
Journal: Proc. Amer. Math. Soc. 82 (1981), 139-144
MSC: Primary 55P60
DOI: https://doi.org/10.1090/S0002-9939-1981-0603617-2
MathSciNet review: 603617
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: A mod $ p$ Whitehead theorem is proved which is the relative version of a basic result of localization theory. It is applied to give a family of fibrations which are also cofibrations.


References [Enhancements On Off] (What's this?)

  • [1] A. Bousfield and D. Kan, Homotopy limits, completions, and localizations, Lecture Notes in Math., vol. 304, Springer-Verlag, Berlin and New York, 1972. MR 0365573 (51:1825)
  • [2] H. Cartan and S. Eilenberg, Homological algebra, Princeton Univ. Press, Princeton, N. J., 1956. MR 0077480 (17:1040e)
  • [3] P. Hilton, Homotopy theory and duality, Gordon and Breach, New York, 1965. MR 0198466 (33:6624)
  • [4] P. Hilton and J. Roitberg, On the Zeeman comparison theorem for the homology of quasi-nilpotent fibrations, Quart. J. Math. Oxford Ser. (2) 27 (1976), 433-444. MR 0431151 (55:4153)
  • [5] P. Hilton, G. Mislin and J. Roitberg, Localization of nilpotent groups and spaces, Math. Studies, no. 15, North-Holland, Amsterdam, 1975. MR 0478146 (57:17635)
  • [6] R. James Milgram, Surgery with coefficients, Ann. of Math. 100 (1974), 194-248. MR 0362359 (50:14801)
  • [7] D. Sullivan, Genetics of homotopy theory and the Adams conjecture, Ann. of Math. 100 (1974), 1-79. MR 0442930 (56:1305)

Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 55P60

Retrieve articles in all journals with MSC: 55P60


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1981-0603617-2
Article copyright: © Copyright 1981 American Mathematical Society

American Mathematical Society