English

From fibered symmetric bimonoidal categories to symmetric spectra

Algebraic Topology 2009-05-20 v1 Category Theory

Abstract

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.

Keywords

Cite

@article{arxiv.0905.3156,
  title  = {From fibered symmetric bimonoidal categories to symmetric spectra},
  author = {Jose Manuel Gomez},
  journal= {arXiv preprint arXiv:0905.3156},
  year   = {2009}
}

Comments

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