Frobenius objects in the category of relations

20 Jun 2019  ·  Mehta Rajan Amit, Zhang Ruoqi ·

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 showing that special dagger Frobenius objects in the category of relations are in correspondence with groupoids... As an additional example, we construct a Frobenius object in the category of relations whose elements are certain cohomology classes in a compact oriented Riemannian manifold. read more

PDF Abstract
No code implementations yet. Submit your code now

Categories


Category Theory Mathematical Physics Mathematical Physics