A universal property of the monoidal 2-category of cospans of finite linear orders and surjections

Mathematics – Category Theory

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Scientific paper

We prove that the monoidal 2-category of cospans of finite linear orders and
surjections is the universal monoidal category with an object X with a
semigroup and a cosemigroup structures, where the two structures satisfy a
certain 2-dimensional separable algebra condition.

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