A skew approach to enrichment for Gray-categories

• Autoři: BOURKE John Denis; LOBBIA Gabriele
• Rok publikování: 2023
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Advances in Mathematics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1016/j.aim.2023.109327
• Doi: http://dx.doi.org/10.1016/j.aim.2023.109327
• Klíčová slova: Skew monoidal category; Enriched category; Gray-category
• Popis: 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.

Související projekty

• Enriched categories and their applications