37 citations · 111 across the 23 of their papers we have counts for
3 papers · 1 filter
On Examples and Classification of Frobenius Objects in Rel
Ivan Contreras, Adele Long, Sophia Marx +1
We give some new examples of Frobenius objects in the category of sets and relations . One example is a groupoid with a twisted counit. Another example is the set of…
Frobenius objects in the category of spans
Ivan Contreras, Molly Keller, Rajan Amit Mehta
We consider Frobenius objects in the category Span, where the objects are sets and the morphisms are isomorphism classes of spans of sets. We show that such structures are in corre…
Relative Frobenius algebras are groupoids
Chris Heunen, Ivan Contreras, Alberto S. Cattaneo
We functorially characterize groupoids as special dagger Frobenius algebras in the category of sets and relations. This is then generalized to a non-unital setting, by establishing…