English

The other pullback lemma

Category Theory 2014-10-07 v2

Abstract

Given a composition of two commutative squares, one well-known pullback lemma says that if both squares are pullbacks, then their composition is also a pullback; another well-known pullback lemma says that if the composed square is a pullback and the supporting square is a pullback, then the other square is a pullback as well. This note investigates the third of the possibilities.

Cite

@article{arxiv.1311.2974,
  title  = {The other pullback lemma},
  author = {Michal R. Przybylek},
  journal= {arXiv preprint arXiv:1311.2974},
  year   = {2014}
}
R2 v1 2026-06-22T02:06:17.986Z