Duality and Eilenberg-Mac Lane spectra

Lin, T. Y.

doi:10.1090/S0002-9939-1976-0402738-5

Duality and Eilenberg-Mac Lane spectra
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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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Stable homotopy and generalized homology

Stable homotopy theory

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