Some remarks on connectors and groupoids in goursat categories

Gran, Marino; Nguefeu, Idriss Tchoffo; Rodelo, Diana

http://hdl.handle.net/10400.1/11985

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Authors

Gran, Marino

Nguefeu, Idriss Tchoffo

Rodelo, Diana

Abstract(s)

We 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.