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The BP-Coaction for Projective Spaces

Published online by Cambridge University Press:  20 November 2018

Donald M. Davis
Donald M. Davis*
Affiliation:
Lehigh University, Bethlehem, Pennsylvania
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The Brown-Peterson spectrum BP has been used recently to establish some new information about the stable homotopy groups of spheres [9; 11]. The best results have been achieved by using the associated homology theory BP*( ), the Hopf algebra BP*(BP), and the Adams-Novikov spectral sequence

Type
Research Article
Information
Canadian Journal of Mathematics , Volume 30 , Issue 1 , 01 February 1978 , pp. 45 - 53
Copyright
Copyright © Canadian Mathematical Society 1978

References

1. Adams, J. F., The nonexistence of elements of Hopf invariant one, Ann. of Math. 72 (1960), 20–104.Google Scholar
2. Adams, J. F., Vector fields on spheres, Ann. of Math. 75 (1962), 603–632.Google Scholar
3. Adams, J. F., Stable homotopy and generalized homology (Univ. of Chicago Press, Chicago, 1974).Google Scholar
4. Anderson, D. W. and Davis, D. M., A vanishing theorem in homologuai algebra, Comm, Math. Helv. 48 (1973), 318–327.Google Scholar
5. Atiyah, M. F., Thorn complexes, Proc. London Math. Soc. 11 (1961), 291–310.Google Scholar
6. Brown, E. H., Jr., and Peterson, F. P., A spectrum whose Zp-cohomology is the algebra of reduced pth powers, Topology 5 (1966), 149–154.Google Scholar
7. Davis, D. M. and Mahowald, M. E., The immersion conjecture is false, to appear.Google Scholar
8. Hazewinkel, M., A universal formal group law and complex cobordism, Bull. Amer. Math. Soc. 81 (1975), 930–933.Google Scholar
9. Miller, H., Ravenel, D., and Wilson, W. S., Novikov's Ext2 and the nontriviality of the gamma family, Bull. Amer. Math. Soc. 81 (1975), 1072–1075.Google Scholar
10. Ming, R., Thesis, Univ. of Chicago, 1975.Google Scholar
11. Ravenel, D., The nonexistence of odd primary Arf invariant elements in stable homotopy, to appear.Google Scholar
12. Spanier, E. H. and Whitehead, J. H. C., Duality in homotopy theory, Mathematika 2 (1955), 56–80.Google Scholar
13. Whitehead, G. W., Generalized homology theories, Trans. Amer. Math. Soc. 102 (1962), 227–283.Google Scholar