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arxiv: 0905.3156 · v1 · submitted 2009-05-19 · 🧮 math.AT · math.CT

From fibered symmetric bimonoidal categories to symmetric spectra

classification 🧮 math.AT math.CT
keywords symmetriccategoriesfiberedbimonoidalcategorymonoidalcertaincoherences
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In here we define the concept of fibered symmetric bimonoidal categories. These are roughly speaking fibered categories D->C whose fibers are symmetric monoidal categories parametrized by C and such that both D and C have a further structure of a symmetric monoidal category that satisfy certain coherences that we describe. Our goal is to show that we can correspond to a fibered symmetric bimonoidal category an E_{\infty}-ring spectrum in a functorial way.

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