nLab
Locally Presentable and Accessible Categories

Locally Presentable and Accessible Categories is a book by Jiří Adámek and Jiří Rosický about, unsurprisingly, locally presentable and accessible categories. It was published by Cambridge University Press in the London Mathematical Society Lecture Note Series, number 189, in 1994.

Content

1. locally presentable categories

2. accessible categories: see also sketch

3. algebraic categories: see algebraic category, equationally presentable category, and variety of algebras

4. injectivity class?es: see also weak factorization system

5. categories of models: see internal logic, theory, model

6. Vopěnka's principle

• Appendix: large cardinals

category: reference