Locally presentable and accessible categories:
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 cat...
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| Format: | E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1994
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| Schriftenreihe: | London Mathematical Society lecture note series
189 |
| Links: | https://doi.org/10.1017/CBO9780511600579 |
| Zusammenfassung: | 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. |
| Umfang: | 1 Online-Ressource (xiv, 316 Seiten) |
| ISBN: | 9780511600579 |
Internformat
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| 100 | 1 | |a Adámek, Jiří | |
| 245 | 1 | 0 | |a Locally presentable and accessible categories |c Jiří Adámek, Jiří Rosicky |
| 246 | 3 | |a Locally Presentable & Accessible Categories | |
| 264 | 1 | |a Cambridge |b Cambridge University Press |c 1994 | |
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| 490 | 1 | |a London Mathematical Society lecture note series |v 189 | |
| 520 | |a 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. | ||
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| spelling | Adámek, Jiří Locally presentable and accessible categories Jiří Adámek, Jiří Rosicky Locally Presentable & Accessible Categories Cambridge Cambridge University Press 1994 1 Online-Ressource (xiv, 316 Seiten) txt c cr London Mathematical Society lecture note series 189 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. Rosický, Jiří Erscheint auch als Druck-Ausgabe 9780521422611 |
| spellingShingle | Adámek, Jiří Locally presentable and accessible categories |
| title | Locally presentable and accessible categories |
| title_alt | Locally Presentable & Accessible Categories |
| title_auth | Locally presentable and accessible categories |
| title_exact_search | Locally presentable and accessible categories |
| title_full | Locally presentable and accessible categories Jiří Adámek, Jiří Rosicky |
| title_fullStr | Locally presentable and accessible categories Jiří Adámek, Jiří Rosicky |
| title_full_unstemmed | Locally presentable and accessible categories Jiří Adámek, Jiří Rosicky |
| title_short | Locally presentable and accessible categories |
| title_sort | locally presentable and accessible categories |
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