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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)



Multiplications on cohomology theories with coefficients

Author: Alvin Frank Martin
Journal: Trans. Amer. Math. Soc. 253 (1979), 91-120
MSC: Primary 55N20; Secondary 55N45
MathSciNet review: 536937
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Abstract: Araki and Toda have considered the existence and classification of multiplications on generalized cohomology theories with coefficients in the category of finite CW-complexes. We consider the same matters for representable cohomology theories in a category of stable CW-spectra, such as that constructed by Adams. We obtain similar, and in certain instances stronger, results than Araki and Toda, with methods of proof that are often simpler and more straightforward.

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Keywords: Generalized cohomology theory, spectra, multiplicative cohomology theory, generalized cohomology with $ {Z_q}$ coefficients, Moore spectrum, Bockstein spectral sequence
Article copyright: © Copyright 1979 American Mathematical Society