Locally Presentable and Accessible Categories

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Cambridge University Press, 10.03.1994 - 316 Seiten
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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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Inhalt

1 Locally Presentable Categories
7
2 Accessible Categories
67
3 Algebraic Categories
131
4 Injectivity Classes
173
5 Categories of Models
199
6 Vopěnkas Principle
241
Large Cardinals
281
Open Problems
295
Bibliography
299
List of Symbols
309
Index
313
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