|
The Whitehead conjecture and splitting $B\left( {\mathbf{Z}/2} \right)^k$
Author(s):
N. J.
Kuhn;
S. A.
Mitchell;
S. B.
Priddy
Journal:
Bull. Amer. Math. Soc.
7
(1982),
255-258.
MSC (1980):
Primary 55P42, 55R35;
Secondary 20C20
MathSciNet review:
656206
Retrieve article in:
PDF
References |
Similar articles |
Additional information
References:
- [A] J. F. Adams, Operations of the nth kind in K-theory, and what we don't know about RP∞, London Math. Soc. Lecture Notes no. 11, Cambridge Univ. Press, London and New York, 1974, pp. 1-9. MR 339178
- [DT] A. Dold and R. Thorn, Quasifaserungen und unendliche symmetriche Produkte, Ann. of Math. (2) 67 (1958), 239-281. MR 97062
- [JTTW] I. James, E. Thomas, H. Toda, and G. Whitehead, On the symmetric square of a sphere, J. Math. Mech. 12 (1963), 771-776. MR 154282
- [K] D. Kahn, On the stable decomposition of Ω, Geometric Applications of Homotopy Theory II, Lecture Notes in Math., no. 658, Springer, New York, 1978, pp. 206-214. MR 513576
- [KP] D. Kahn and S. Priddy, The transfer and stable homotopy theory, Math. Proc. Cambridge Philos. Soc. 83 (1978), 102-111. MR 464230
- [Ku] N. Kuhn, The homology of the James-Hopf maps, Illinois J. Math, (to appear). MR 694646
- [Mi] R. J. Milgram (ed.), Problems presented to the 1970 AMS Summer Colloquium in algebraic topology, Proc. Sympos. Pure Math., vol. 22, Amer. Math. Soc. Providence, R. I., 1971, pp. 187-201. MR 315691
- [M] S. Mitchell, Complex bordism and stable homotopy type of B (Z/p × Z/p), Thesis, University of Washington, 1981.
- [MP] S. Mitchell and S. Priddy, Symmetric product spectra and splittings of classifying spaces (preprint). MR 729761
- [N] M. Nakaoka, Cohomology mod p of symmetric products of spheres, J. Inst. Poly. Osaka City Univ. 9 (1958), 1-10. MR 121788
- [S] R. Steinberg, Prime power representations of finite linear groups. II, Canad. J. Math. 18 (1956), 580-591. MR 80669
- [W] C. Witten, Self-maps of classifying spaces of finite groups and classification of low dimensional Poincarè duality spaces, Thesis, Stanford University, 1978.
Similar Articles:
Retrieve articles in Bulletin of the American Mathematical Society
with MSC
(1980):
55P42, 55R35, 20C20
Retrieve articles in all Journals with MSC
(1980):
55P42, 55R35, 20C20
Additional Information:
DOI:
10.1090/S0273-0979-1982-15027-3
PII:
S 0273-0979(1982)15027-3
|
