Preliminary announcement The following book will be available shortly: Locally Presentable and Accessible Categories J.Adamek, J.Rosicky Cambridge University Press London Mathematical Society Lecture Notes Series 189 ISBN 0 521 42261 2 330 pp. Abstract: 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 lambda-presentable objects, locally lambda-presentable categories, and lambda-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. Contents: 0. Preliminaries, 1. Locally presentable categories, 2. Accessible categories, 3. Algebraic categories, 4. Injectivity classes, 5. Categories of models, 6. Vopenka's principle, Appendix: Large cardinals, Open problems.
participants (1)
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Jiri Rosicky