English

The Two-Square Lemma and the connecting morphism

Category Theory 2011-03-29 v1

Abstract

We obtain a generalization of the Two-Square Lemma proved for abelian categories by Fay, Hardie, and Hilton in 1989 and (in a special case) for preabelian categories by Generalov in 1994. We also prove the equivalence up to sign of two definitions of a connecting morphism of the Snake Lemma.

Cite

@article{arxiv.1103.5251,
  title  = {The Two-Square Lemma and the connecting morphism},
  author = {Yaroslav Kopylov},
  journal= {arXiv preprint arXiv:1103.5251},
  year   = {2011}
}

Comments

10 pages

R2 v1 2026-06-21T17:45:21.060Z