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Monoidal characterisation of groupoids and connectors

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 نشر من قبل Chris Heunen
 تاريخ النشر 2019
  مجال البحث
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We study internal structures in regular categories using monoidal methods. Groupoids in a regular Goursat category can equivalently be described as special dagger Frobenius monoids in its monoidal category of relations. Similarly, connectors can equivalently be described as Frobenius structures with a ternary multiplication. We study such ternary Frobenius structures and the relationship to binary ones, generalising that between connectors and groupoids.



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