English

On $K_1$ of an assembler

K-Theory and Homology 2016-09-20 v3 Algebraic Topology

Abstract

This paper contains a construction of generators and partial relations for K1K_1 of a simplicial Waldhausen category where cofiber sequences split up to weak equivalence. The main application of these generators and relations is to produce generators for K1K_1 of a (simplicial) assembler.

Cite

@article{arxiv.1506.06197,
  title  = {On $K_1$ of an assembler},
  author = {Inna Zakharevich},
  journal= {arXiv preprint arXiv:1506.06197},
  year   = {2016}
}

Comments

25 pages

R2 v1 2026-06-22T09:57:07.825Z