English

Algebraic $K_0$ for unpointed homotopy Categories

K-Theory and Homology 2024-07-31 v1 Category Theory Group Theory

Abstract

We introduce the notion of Grothendieck heaps for unpointed Waldhausen categories and unpointed stable \infty-categories. This allows an extension of the studies of K0\mathrm{K}_0 to the homotopy category of unpointed topological spaces.

Keywords

Cite

@article{arxiv.2407.20911,
  title  = {Algebraic $K_0$ for unpointed homotopy Categories},
  author = {Felix Küng},
  journal= {arXiv preprint arXiv:2407.20911},
  year   = {2024}
}

Comments

11 pages, Comments welcome

R2 v1 2026-06-28T17:58:18.352Z