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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Duality and Eilenberg-Mac Lane spectra
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by T. Y. Lin PDF
Proc. Amer. Math. Soc. 56 (1976), 291-299 Request permission

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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Additional Information
  • © Copyright 1976 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 56 (1976), 291-299
  • MSC: Primary 55E10
  • DOI: https://doi.org/10.1090/S0002-9939-1976-0402738-5
  • MathSciNet review: 0402738