101 citations · 504 across the 26 of their papers we have counts for
5 papers · 1 filter
2-Segal sets and pseudomonoids in the bicategory of spans
Sophia E Marx, Rajan Amit Mehta
In this survey article, we give an introduction to the notion of a 2-Segal set and prove that 2-Segal sets are equivalent to pseudomonoids in the bicategory of spans. The proof uti…
Frobenius and commutative pseudomonoids in the bicategory of spans
Ivan Contreras, Rajan Amit Mehta, Walker H. Stern
In previous work by the first two authors, Frobenius and commutative algebra objects in the category of spans of sets were characterized in terms of simplicial sets satisfying cert…
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…
Frobenius objects in the category of relations
Rajan Amit Mehta, Ruoqi Zhang
We give a characterization, in terms of simplicial sets, of Frobenius objects in the category of relations. This result generalizes a result of Heunen, Contreras, and Cattaneo show…