English

An Inverse K-Theory Functor

K-Theory and Homology 2010-11-09 v2 Algebraic Topology

Abstract

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.

Keywords

Cite

@article{arxiv.1002.3622,
  title  = {An Inverse K-Theory Functor},
  author = {Michael A. Mandell},
  journal= {arXiv preprint arXiv:1002.3622},
  year   = {2010}
}

Comments

Minor corrections. Final version

R2 v1 2026-06-21T14:48:42.177Z