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arXiv · 2003.09453

Cartesian bicategories with choice

Filippo Bonchi·Jens Seeber·Pawel Sobocinski
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Abstract

Relational structures are emerging as ubiquitous mathematical machinery in the semantics of open systems of various kinds. Cartesian bicategories are a well-known categorical algebra of relations that has proved especially useful in recent applications. The passage between a category and its bicategory of relations is an important question that has been widely studied for decades. We study an alternative construction that yields a cartesian bicategory of relations. Its behaviour is closely related to the axiom of choice, which itself can be expressed in the language of cartesian bicategories.

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Filippo Bonchi, Jens Seeber, Pawel Sobocinski. 2020-03-20. Cartesian bicategories with choice. https://arxiv.org/abs/2003.09453

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