A skew approach to enrichment for Gray-categories

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Authors

BOURKE John Denis LOBBIA Gabriele

Year of publication 2023
Type Article in Periodical
Magazine / Source Advances in Mathematics
MU Faculty or unit

Faculty of Science

Citation
Web https://doi.org/10.1016/j.aim.2023.109327
Doi http://dx.doi.org/10.1016/j.aim.2023.109327
Keywords Skew monoidal category; Enriched category; Gray-category
Description It is well known that the category of Gray-categories does not admit a monoidal biclosed structure that models weak higher-dimensional transformations. In this paper, the first of a series on the topic, we describe several skew monoidal closed structures on the category of Gray-categories, one of which captures higher lax transformations, and another which models higher pseudo-transformations.
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