From fibered symmetric bimonoidal categories to symmetric spectra

Details From fibered symmetric bimonoidal categories to symmetric spectra From fibered symmetric bimonoidal categories to symmetric spectra

2009-05-19

arxiv.org/abs/0905.3156v1

Mathematics

Algebraic Topology

66 Pages. Submitted to the Journal of Pure and Applied Algebra August 2008

Scientific paper

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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