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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

Higher order homology operations and the Adams spectral sequence


Author: Warren M. Krueger
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
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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.


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DOI: https://doi.org/10.1090/S0002-9939-1971-0281210-5
Keywords: Semisimplicial spectrum, Adams spectral sequence, $ P$-system, homology operation, universal homology operation, $ n$-step nilpotent spectrum, $ n$-step metabelian spectrum
Article copyright: © Copyright 1971 American Mathematical Society

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