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Function spectra

Published online by Cambridge University Press:  24 October 2008

A. D. Elmendorf
A. D. Elmendorf
Affiliation:
Department of Mathematics, Indiana University at South Bend, South Bend, IN 46634, U.S.A.
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Extract

Boardman's stable category (see [5]) is a closed category ([4], VII·7), and in the best of all possible worlds, the category of spectra underlying the stable category would be closed as well; this would make life considerably easier for those doing calculations in stable homotopy theory. Unfortunately none of the categories of spectra introduced to date are closed; only S, the category introduced in [2], is even symmetric monoidal. The problem with making S closed is that it comes equipped with an augmentation to I, the category of universes and linear isometries (called Un in [2]), which preserves the symmetric monoidal structure. Since I is not closed, this makes it difficult to see how S might be closed.

Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 108 , Issue 1 , July 1990 , pp. 31 - 34
Copyright
Copyright © Cambridge Philosophical Society 1990

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References

REFERENCES

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