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.

中文翻译：

---

2 类理论的可访问方面

在 Cat-enriched 类别理论的意义上，类别结构及其伪图很少形成局部可呈现的 2-类别。但是，我们表明，如果所讨论的类别结构足够弱（例如幺半群的结构，但不是严格的幺半群类别），那么所讨论的 2 类别是可访问的。此外，我们探索了这种 2 类拥有的灵活限制以及它们与过滤后的限制的相互作用。