2007•arXiv (Cornell University)Open access

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

Matı́as Menni, Nicoletta Sabadini, Robert F. C. Walters

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Abstract

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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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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Available abstract

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.

Key concepts: Closed monoidal category, Enriched category, Symmetric monoidal category, Bijection, injection and surjection, Mathematics, Monoidal category, Separable space, Pure mathematics

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