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- W2018647046 abstract "In [4], Peterson and Stein related certain values of secondary cohomology operations to the values of certain functional primary operations. Their method was that of universal example. Here using a different approach, we establish analogous formulas for second order and functional first order differentials which occur in the version of the Adams spectral sequence that is formulated with respect to E* homology in the stable homotopy category [1, p. 238]. (For these formulas we do not need the assumptions which serve to identify E2 or assure convergence.) We begin by recalling the definition of the Adams differential. In the spectral sequence for a pair of spectra (X, Y) the group E,, is a subquotient of [X,E A (C(is))s A Y] and d,S ': ES > ES+r,t+r-l is induced by the additive relation" @default.
- W2018647046 created "2016-06-24" @default.
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- W2018647046 date "1976-01-01" @default.
- W2018647046 modified "2023-09-26" @default.
- W2018647046 title "Peterson-Stein formulas in the Adams spectral sequence" @default.
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- W2018647046 doi "https://doi.org/10.1090/s0002-9939-1976-0400229-9" @default.
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