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arXiv · 1907.00702

Frobenius objects in the category of relations

Rajan Amit Mehta·Ruoqi Zhang
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Abstract

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.

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Rajan Amit Mehta, Ruoqi Zhang. 2024-09-02. Frobenius objects in the category of relations. https://doi.org/10.1007/s11005-020-01281-1

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