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smash product of spectra

The smash product of pointed topological spaces generalizes to spectra.

Equipped with the smash product operation the stable (∞,1)-category of spectra becomes a symmetric monoidal (∞,1)-category.

There is a version of the smash product of spectra that is strictly associative and strictly commutative: the symmetric monoidal smash product of spectra.

References

the $(\mathrm{\infty }\mathrm{,1})$-categorical description is in section 4.2 of

• Jacob Lurie, Noncommutative algebra