Some remarks on connectors and groupoids in goursat categories
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.
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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
2018
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10400.1/11985 |
| Country: | Portugal |
| Oai: | oai:sapientia.ualg.pt:10400.1/11985 |
| Summary: | 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. |
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