Biprops

Volodymyr Lyubashenko

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arXiv · 2604.16945

Biprops

Volodymyr Lyubashenko

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Abstract

We define biprops as a generalization of coloured props and of symmetric weak multicategories. These are bicategories whose objects form a free monoid. They are equipped with some structure resembling a symmetric strict tensor product. We prove that a symmetric weak multicategory gives rise to a biprop and a symmetric weak multifunctor gives rise to a morphism of biprops. This is a functor from the category of symmetric weak multicategories to the category of biprops.

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Volodymyr Lyubashenko. 2026-04-18. Biprops. https://arxiv.org/abs/2604.16945

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