Yoneda products in the Cartan-Eilenberg change of rings spectral sequence with applications to $\textrm {BP}_\ast (\textrm {BO}(n))$
HTML articles powered by AMS MathViewer
- by Ronald Ming PDF
- Trans. Amer. Math. Soc. 219 (1976), 235-252 Request permission
Abstract:
Yoneda product structure is defined on a Cartan-Eilenberg change of rings spectral sequence. Application is made to a factorization theorem for the ${E_2}$-term of the Adams spectral sequence for Brown-Peterson homology of the classifying spaces $BO(n)$.References
- J. F. Adams, On the non-existence of elements of Hopf invariant one, Ann. of Math. (2) 72 (1960), 20โ104. MR 141119, DOI 10.2307/1970147
- J. F. Adams, On the structure and applications of the Steenrod algebra, Comment. Math. Helv. 32 (1958), 180โ214. MR 96219, DOI 10.1007/BF02564578
- J. F. Adams, Stable homotopy and generalised homology, Chicago Lectures in Mathematics, University of Chicago Press, Chicago, Ill.-London, 1974. MR 0402720
- Edgar H. Brown Jr. and Franklin P. Peterson, A spectrum whose $Z_{p}$ cohomology is the algebra of reduced $p^{th}$ powers, Topology 5 (1966), 149โ154. MR 192494, DOI 10.1016/0040-9383(66)90015-2
- Henri Cartan and Samuel Eilenberg, Homological algebra, Princeton University Press, Princeton, N. J., 1956. MR 0077480
- A. L. Liulevicius, A proof of Thomโs theorem, Comment. Math. Helv. 37 (1962/63), 121โ131. MR 145527, DOI 10.1007/BF02566966
- Arunas Liulevicius, A theorem in homological algebra and stable homotopy of projective spaces, Trans. Amer. Math. Soc. 109 (1963), 540โ552. MR 156346, DOI 10.1090/S0002-9947-1963-0156346-X
- Arunas Liulevicius, Homology comodules, Trans. Amer. Math. Soc. 134 (1968), 375โ382. MR 251720, DOI 10.1090/S0002-9947-1968-0251720-X
- Saunders Mac Lane, Homology, Die Grundlehren der mathematischen Wissenschaften, Band 114, Academic Press, Inc., Publishers, New York; Springer-Verlag, Berlin-Gรถttingen-Heidelberg, 1963. MR 0156879, DOI 10.1007/978-3-642-62029-4
- J. P. May, The cohomology of restricted Lie algebras and of Hopf algebras, J. Algebra 3 (1966), 123โ146. MR 193126, DOI 10.1016/0021-8693(66)90009-3
- J. Milnor, On the cobordism ring $\Omega ^{\ast }$ and a complex analogue. I, Amer. J. Math. 82 (1960), 505โ521. MR 119209, DOI 10.2307/2372970
- John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211โ264. MR 174052, DOI 10.2307/1970615
- Stewart B. Priddy, Koszul resolutions, Trans. Amer. Math. Soc. 152 (1970), 39โ60. MR 265437, DOI 10.1090/S0002-9947-1970-0265437-8
Additional Information
- © Copyright 1976 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 219 (1976), 235-252
- MSC: Primary 55H15
- DOI: https://doi.org/10.1090/S0002-9947-1976-0407844-1
- MathSciNet review: 0407844