Higher order homology operations and the Adams spectral sequence
HTML articles powered by AMS MathViewer
- by Warren M. Krueger
- Proc. Amer. Math. Soc. 27 (1971), 395-398
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281210-5
- PDF | Request permission
Abstract:
One can filter the stable homotopy groups of spheres in such a way as to obtain the (semisimplicial) $\bmod - p$ Adams spectral sequence and also by means of certain higher order homology operations. In this note we show that these filtrations coincide.References
- J. F. Adams, On the structure and applications of the Steenrod algebra, Comment. Math. Helv. 32 (1958), 180–214. MR 96219, DOI 10.1007/BF02564578
- A. K. Bousfield, E. B. Curtis, D. M. Kan, D. G. Quillen, D. L. Rector, and J. W. Schlesinger, The $\textrm {mod}-p$ lower central series and the Adams spectral sequence, Topology 5 (1966), 331–342. MR 199862, DOI 10.1016/0040-9383(66)90024-3
- Daniel M. Kan and George W. Whitehead, Orientability and Poincaré duality in general homology theories, Topology 3 (1965), 231–270. MR 190925, DOI 10.1016/0040-9383(65)90056-X
Bibliographic Information
- © Copyright 1971 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 27 (1971), 395-398
- MSC: Primary 55.52
- DOI: https://doi.org/10.1090/S0002-9939-1971-0281210-5
- MathSciNet review: 0281210