Gran, Marino and Rodelo, Diana and Nguefeu, Idriss Tchoffo - Some remarks on connectors and groupoids in Goursat categories

lmcs:3876 - Logical Methods in Computer Science, August 23, 2017, Volume 13, Issue 3
Some remarks on connectors and groupoids in Goursat categories

Authors: Gran, Marino and Rodelo, Diana and Nguefeu, Idriss Tchoffo

We prove that connectors are stable under quotients in any (regular) Goursat category. As a consequence, the category $\mathsf{Conn}(\mathbb{C})$ of connectors in $\mathbb{C}$ is a Goursat category whenever $\mathbb C$ is. This implies that Goursat categories can be characterised in terms of a simple property of internal groupoids.


Source : oai:arXiv.org:1701.07653
DOI : 10.23638/LMCS-13(3:14)2017
Volume: Volume 13, Issue 3
Section: Algebraic methods
Published on: August 23, 2017
Submitted on: August 23, 2017
Keywords: Mathematics - Category Theory,Mathematics - Rings and Algebras,08C05, 08B05, 08A30, 08B10, 18C05, 18E10


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