English

A cofibrant model of Waldhausen K-theory

K-Theory and Homology 2026-07-12 v1 Algebraic Topology Category Theory

Abstract

This paper gives some technical results about cofibrant symmetric spectra of simplicial sets, and uses them to produce a model of the KK-theory of a Waldhausen category that lands in the subcategory of (projective) cofibrant spectra.

Keywords

Cite

@article{arxiv.2607.10886,
  title  = {A cofibrant model of Waldhausen K-theory},
  author = {Kate Ponto and Inna Zakharevich},
  journal= {arXiv preprint arXiv:2607.10886},
  year   = {2026}
}