Monoidal characterisation of groupoids and connectors

Marino Gran, Christiaan Heunen, Sean Tull

Research output: Contribution to journalArticlepeer-review

Abstract

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.
Original languageEnglish
Article number106966
Number of pages25
JournalTopology and its Applications
Volume273
Early online date9 Dec 2019
DOIs
Publication statusPublished - 15 Mar 2020

Keywords

  • Frobenius structure
  • groupoid
  • connector
  • regular category
  • category of relations
  • monoidal category
  • Goursat category

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