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@article{2351957, author = {Bourke, John Denis and Lobbia, Gabriele}, article_number = {December 2023}, doi = {http://dx.doi.org/10.1016/j.aim.2023.109327}, keywords = {Skew monoidal category; Enriched category; Gray-category}, language = {eng}, issn = {0001-8708}, journal = {Advances in Mathematics}, title = {A skew approach to enrichment for Gray-categories}, url = {https://doi.org/10.1016/j.aim.2023.109327}, volume = {434}, year = {2023} }
TY - JOUR ID - 2351957 AU - Bourke, John Denis - Lobbia, Gabriele PY - 2023 TI - A skew approach to enrichment for Gray-categories JF - Advances in Mathematics VL - 434 IS - December 2023 SP - 1-92 EP - 1-92 PB - Elsevier SN - 00018708 KW - Skew monoidal category KW - Enriched category KW - Gray-category UR - https://doi.org/10.1016/j.aim.2023.109327 N2 - 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. ER -
BOURKE, John Denis and Gabriele LOBBIA. A skew approach to enrichment for Gray-categories. \textit{Advances in Mathematics}. Elsevier, 2023, vol.~434, December 2023, p.~1-92. ISSN~0001-8708. Available from: https://dx.doi.org/10.1016/j.aim.2023.109327.
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