Locally Presentable And Accessible Categories - Adamek J.; Rosicky J. | Libro Cambridge University Press 03/1994 - HOEPLI.it


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adamek j.; rosicky j. - locally presentable and accessible categories

Locally Presentable and Accessible Categories

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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 03/1994





Trama

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.




Note Editore

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.




Sommario

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.




Prefazione

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. For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase.







Altre Informazioni

ISBN:

9780521422611

Condizione: Nuovo
Collana: London Mathematical Society Lecture Note Series
Dimensioni: 229 x 19 x 154 mm Ø 489 gr
Formato: Brossura
Pagine Arabe: 332






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