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2007•Theory and applications of categoriesOpen access

A universal property of the monoidal 2-category of cospans of ordinals 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 ordinals 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.N. Sabadini and R. F. C. Walters are funded by Universitá dell'Insubria and the

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We prove that the monoidal 2-category of cospans of ordinals 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.N. Sabadini and R. F. C. Walters are funded by Universitá dell'Insubria and the

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Available abstract

We prove that the monoidal 2-category of cospans of ordinals 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.N. Sabadini and R. F. C. Walters are funded by Universitá dell'Insubria and the

Key concepts: Enriched category, 2-category, Closed monoidal category, Symmetric monoidal category, Mathematics, Monoidal category, Higher category theory, Pure mathematics

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