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Proceedings of the American Mathematical Society

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



Duality and Eilenberg-Mac Lane spectra

Author: T. Y. Lin
Journal: Proc. Amer. Math. Soc. 56 (1976), 291-299
MSC: Primary 55E10
MathSciNet review: 0402738
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Abstract: Stable cohomotopy groups of Eilenberg-Mac Lane spectra of finite groups are shown to be trivial. This implies that the stable homotopy category, which is large enough to represent ordinary cohomology theory, cannot be self-dual. It can also be interpreted as an evidence to support Freyd's generating hypothesis and a proof of a stable version of a conjecture of D. Sullivan.

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Keywords: Stable homotopy category, Spanier-Whitehead duality, Freyd's generating hypothesis, Eilenberg-Mac Lane spectrum, Moore spectrum, Adams spectral sequence
Article copyright: © Copyright 1976 American Mathematical Society