Gran, MarinoNguefeu, Idriss TchoffoRodelo, Diana2018-12-072018-12-0720171860-5974http://hdl.handle.net/10400.1/11985We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category Conn(C) of connectors in C is a Goursat category whenever C is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.engMalcev categories3-permutable varietiesShifting lemmaConnectorsGroupoidsjournal article10.23638/LMCS-13(3:14)2017