Accessible aspects of 2-category theory

• Autoři: BOURKE John Denis
• Rok publikování: 2021
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Journal of Pure and Applied Algebra
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: https://doi.org/10.1016/j.jpaa.2020.106519
• Doi: https://doi.org/10.1016/j.jpaa.2020.106519
• Klíčová slova: Accessible category; 2-category; Pseudomorphism
• Popis: Categorical structures and their pseudomaps rarely form locally presentable 2-categories in the sense of Cat-enriched category theory. However, we show that if the categorical structure in question is sufficiently weak (such as the structure of monoidal, but not strict monoidal, categories) then the 2-category in question is accessible. Furthermore, we explore the flexible limits that such 2-categories possess and their interaction with filtered colimits.

Související projekty

• Injektivita a monády v algebře a topologii