2 papers
math.AT2024
Unital operads, monoids, monads, and bar constructions
J. P. May, Ruoqi Zhang, Foling Zou
We give a description of unital operads in a symmetric monoidal category as monoids in a monoidal category of unital -sequences. This is a new variant of Kelly's old descriptio…
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…