%0 Journal Article %T An Inverse K-Theory Functor %A Michael A. Mandell %J Mathematics %D 2010 %I arXiv %X Thomason showed that the K-theory of symmetric monoidal categories models all connective spectra. This paper describes a new construction of a permutative category from a Gamma-space, which is then used to re-prove Thomason's theorem and a non-completed variant. %U http://arxiv.org/abs/1002.3622v2