## Stabilizing tensor products

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- by Harold M. Hastings
- Proc. Amer. Math. Soc.
**49**(1975), 1-7 - DOI: https://doi.org/10.1090/S0002-9939-1975-0362298-3
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## Abstract:

Let $C$ be a symmetric monoidal category with a suspension, and let*SC*be the resulting stable category. We shall give necessary and sufficient conditions for extending the symmetric monoidal structure to a monoidal structure on

*SC*. These imply that the usual smash product on finite pointed CW complexes cannot be extended to a smash product (with ${S^0}$ as unit) on finite spectra, hence not on Boardman spectra. This confirms a conjecture of Alex Heller.

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## Bibliographic Information

- © Copyright 1975 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**49**(1975), 1-7 - MSC: Primary 55E10; Secondary 18D10
- DOI: https://doi.org/10.1090/S0002-9939-1975-0362298-3
- MathSciNet review: 0362298