Exact sequences of spectra and duality

Kuhn, Nicholas J.

doi:10.1090/S0002-9939-1986-0835896-5

Exact sequences of spectra and duality
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Proc. Amer. Math. Soc. 97 (1986), 347-351 Request permission

Abstract:

We note that duality arguments show that, under certain circumstances, an exact sequence of spectra remains exact after smashing with a finite complex. Among various applications, we show that the validity for ${S^0}$ of G. W. Whitehead’s symmetric products conjecture implies that the conjecture is "almost" true for all finite complexes.

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