Gran, Marino
[UCL]
Heunen, Chris
[University of Edinburgh]
Tull, Sean
[University of Oxford]
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.
Bibliographic reference |
Gran, Marino ; Heunen, Chris ; Tull, Sean. Monoidal characterisation of groupoids and connectors. In: Topology and Its Applications, Vol. 273, no. 15, p. 106966 (2020) |
Permanent URL |
http://hdl.handle.net/2078.1/222815 |