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Cover: 9780521422611 | Locally Presentable and Accessible Categories | Jiri Rosicky (u. a.)
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Locally Presentable and Accessible Categories
Taschenbuch von Jiri Rosicky (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521422611
ISBN-10: 0521422612
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rosicky, Jiri
Adamek, J.
Rosicky, J.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 20 mm
Von/Mit: Jiri Rosicky (u. a.)
Erscheinungsdatum: 06.11.2004
Gewicht: 0,54 kg
Artikel-ID: 102563589
Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2004
Fachbereich: Arithmetik & Algebra
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
ISBN-13: 9780521422611
ISBN-10: 0521422612
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Rosicky, Jiri
Adamek, J.
Rosicky, J.
Hersteller: Cambridge University Press
Maße: 229 x 152 x 20 mm
Von/Mit: Jiri Rosicky (u. a.)
Erscheinungsdatum: 06.11.2004
Gewicht: 0,54 kg
Artikel-ID: 102563589
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