Remote Access Transactions of the American Mathematical Society
Green Open Access

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
Full-text PDF

Abstract | References | Similar Articles | Additional Information

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.

References [Enhancements On Off] (What's this?)

Similar Articles

Retrieve articles in Transactions of the American Mathematical Society with MSC: 57D90, 55B20

Retrieve articles in all journals with MSC: 57D90, 55B20

Additional Information

Keywords: Atiyah-Hirzebruch-Dold spectral sequence, Stong-Hattori theorem, complex bordism, Brown-Peterson spectrum, connective k-theory
Article copyright: © Copyright 1973 American Mathematical Society

American Mathematical Society