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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

A Stong-Hattori spectral sequence


Author: David Copeland Johnson
Journal: Trans. Amer. Math. Soc. 179 (1973), 211-225
MSC: Primary 57D90; Secondary 55B20
MathSciNet review: 0368040
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Abstract: Let $ {G_ \ast }(\;)$ be the Adams summand of connective K-theory localized at the prime p. Let $ B{P_\ast}(\;)$ be Brown-Peterson homology for that prime. A spectral sequence is constructed with $ {E^2}$ term determined by $ {G_ \ast }(X)$ and whose $ {E^\infty }$ terms give the quotients of a filtration of $ B{P_ \ast }(X)$ where X is a connected spectrum. A torsion property of the differentials implies the Stong-Hattori theorem.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9947-1973-0368040-7
PII: S 0002-9947(1973)0368040-7
Keywords: Atiyah-Hirzebruch-Dold spectral sequence, Stong-Hattori theorem, complex bordism, Brown-Peterson spectrum, connective k-theory
Article copyright: © Copyright 1973 American Mathematical Society