A skew approach to enrichment for Gray-categories
Authors | |
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Year of publication | 2023 |
Type | Article in Periodical |
Magazine / Source | Advances in Mathematics |
MU Faculty or unit | |
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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