Indecomposables of multiplicative fibrations
HTML articles powered by AMS MathViewer
- by James P. Lin PDF
- Proc. Amer. Math. Soc. 132 (2004), 2793-2797 Request permission
Abstract:
Given a multiplicative fibration $F \stackrel {j}{\longrightarrow } E \stackrel {\pi }{\longrightarrow } B$ we study the module of indecomposables $QH^*(E; \mathbb {Z}_p)$ for $p$ a prime.References
- William Browder, On differential Hopf algebras, Trans. Amer. Math. Soc. 107 (1963), 153–176. MR 145530, DOI 10.1090/S0002-9947-1963-0145530-7
- Paul Goerss, Jean Lannes, and Fabien Morel, Vecteurs de Witt non commutatifs et représentabilité de l’homologie modulo $p$, Invent. Math. 108 (1992), no. 1, 163–227 (French). MR 1156389, DOI 10.1007/BF02100603
- Richard M. Kane, The homology of Hopf spaces, North-Holland Mathematical Library, vol. 40, North-Holland Publishing Co., Amsterdam, 1988. MR 961257
- J. P. Lin, $H$-spaces analogous to $E_8$ mod $3$, Math. Zeit., to appear.
- James P. Lin, Torsion in $H$-spaces. I, Ann. of Math. (2) 103 (1976), no. 3, 457–487. MR 425961, DOI 10.2307/1970948
- W. S. Massey and F. P. Peterson, The cohomology structure of certain fibre spaces. I, Topology 4 (1965), 47–65. MR 189032, DOI 10.1016/0040-9383(65)90048-0
- W. S. Massey and F. P. Peterson, The $\textrm {mod}\ 2$ cohomology structure of certain fibre spaces, Memoirs of the American Mathematical Society, No. 74, American Mathematical Society, Providence, R.I., 1967. MR 0226637
- John McCleary, User’s guide to spectral sequences, Mathematics Lecture Series, vol. 12, Publish or Perish, Inc., Wilmington, DE, 1985. MR 820463
- John W. Milnor and John C. Moore, On the structure of Hopf algebras, Ann. of Math. (2) 81 (1965), 211–264. MR 174052, DOI 10.2307/1970615
- P. Lorenzen, Die Definition durch vollständige Induktion, Monatsh. Math. Phys. 47 (1939), 356–358. MR 38, DOI 10.1007/BF01695507
Additional Information
- James P. Lin
- Affiliation: Department of Mathematics, University of California, San Diego, La Jolla, California 92093–0112
- Email: jimlin@euclid.ucsd.edu
- Received by editor(s): May 1, 2003
- Received by editor(s) in revised form: May 28, 2003
- Published electronically: March 2, 2004
- Communicated by: Paul Goerss
- © Copyright 2004 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 2793-2797
- MSC (2000): Primary 55R20, 55R35, 55R05
- DOI: https://doi.org/10.1090/S0002-9939-04-07396-4
- MathSciNet review: 2054806