Locally presentable and accessible categories:

The concepts of a locally presentable category and an accessible category have turned out to be useful in formulating connections between universal algebra, model theory, logic and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these cat...

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Bibliographic Details
Main Author: Adámek, Jiří
Other Authors: Rosický, Jiří
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 1994
Series:London Mathematical Society lecture note series 189
Links:https://doi.org/10.1017/CBO9780511600579
Summary:The concepts of a locally presentable category and an accessible category have turned out to be useful in formulating connections between universal algebra, model theory, logic and computer science. The aim of this book is to provide an exposition of both the theory and the applications of these categories at a level accessible to graduate students. Firstly the properties of l-presentable objects, locally l-presentable categories, and l-accessible categories are discussed in detail, and the equivalence of accessible and sketchable categories is proved. The authors go on to study categories of algebras and prove that Freyd's essentially algebraic categories are precisely the locally presentable categories. In the final chapters they treat some topics in model theory and some set theoretical aspects. For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase.
Physical Description:1 Online-Ressource (xiv, 316 Seiten)
ISBN:9780511600579