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math.CT2025
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…
math.CT2024
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…
math.CT2024
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…