Locally Presentable and Accessible Categories
Locally Presentable and Accessible Categories by Jiri Adamek is published by Cambridge University Press on March 10, 1994. This edition spans 316 pages and is presented in English. The book explores the concepts of locally presentable and accessible categories, which are significant in connecting various fields such as universal algebra, model theory, logic, and computer science. It aims to provide a comprehensive exposition of both the theory and applications of these categories, making it accessible to graduate students.
Readers will find detailed discussions on lambda-presentable objects, locally lambda-presentable categories, and lambda-accessible categories. The authors establish that Freyd’s essentially algebraic categories align precisely with locally presentable categories. Additionally, the final chapter delves into advanced topics in model theory, offering insights that are relevant to those studying mathematics, algebra, and logic. This book serves as a resource for those interested in the intersections of these mathematical disciplines.
Official synopsis Publisher
The concepts of a locally presentable category and an accessible category are extremely 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. The concepts of lambda-presentable objects, locally lambda-presentable categories, and lambda-accessible categories are discussed in detail. The authors prove that Freyd’s essentially algebraic categories are precisely the locally presentable categories. In the final chapter, they treat some advanced topics in model theory.
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