paper

A characterization of long exact sequences coming from the snake lemma

arXiv:0906.1286

Abstract

Given an abelian category, we characterize the long exact sequences of length six which can be obtained from the snake lemma. Equivalently, these are the long exact sequences which arise as the homology of a triangle in the corresponding derived bounded category.

10 pages, minor corrections, in particular making the arguments regarding the construction of diagrams (Δ) and (Ξ) more precise