N-tuple Groupoids and Optimally Coupled Factorizations

  • Published 2013
In this paper, we prove that the category of vacant n-tuple groupoids is equivalent to the category of factorizations of groupoids by n factors that satisfy some Yang-Baxter type equation. Moreover we extend this equivalence to the category of maximally exclusive n-tuple groupoids, which we define, by dropping one assumption. The paper concludes by a note… (More)