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arXiv · 2306.06436

Retrocells

Robert Paré
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Abstract

The notion of retrocell in a double category with companions is introduced and its basic properties established. Explicit descriptions in some of the usual double categories are given. Monads in a double category provide an important example where retrocells arise naturally. Cofunctors appear as a special case. The motivating example of vertically closed double categories is treated in some detail.

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Robert Paré. 2023-06-16. Retrocells. https://arxiv.org/abs/2306.06436

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