English

Semi-Cartesian squares and the Snake Lemma

Category Theory 2017-12-06 v1

Abstract

The well-known snake lemma is proved entirely within category theory, without the help of "points with value in..." \`a la Grothendieck, nor pseudo-elements as in Guglielmetti & Zaganidis. Instead, we define and use consistently semi-cartesian squares, which were promoted by C. Chevalley.

Cite

@article{arxiv.1712.01637,
  title  = {Semi-Cartesian squares and the Snake Lemma},
  author = {Jean-Claude Raoult},
  journal= {arXiv preprint arXiv:1712.01637},
  year   = {2017}
}

Comments

8 pages, self-contained

R2 v1 2026-06-22T23:07:19.510Z