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Frobenius objects in the category of relations
Letters in Mathematical Physics ( IF 1.3 ) Pub Date : 2020-03-07 , DOI: 10.1007/s11005-020-01281-1
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 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.

中文翻译:

关系范畴中的 Frobenius 对象

我们根据单纯集对关系范畴中的 Frobenius 对象进行刻画。该结果概括了 Heunen、Contreras 和 Cattaneo 的结果,表明关系范畴中的特殊匕首 Frobenius 对象与 groupoids 对应。作为额外的例子,我们在关系范畴中构造一个 Frobenius 对象,其元素是紧致的黎曼流形中的某些上同调类。
更新日期:2020-03-07
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