Locally Presentable and Accessible Categories (London Mathematical Society Lecture Note Series)

J. Adamek

Published by Cambridge University Press, 1994
ISBN 10: 0521422612 / ISBN 13: 9780521422611
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Synopsis: 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.

Book Description: The concepts of a locally presentable category and an accessible category are extremely useful in formulating connections among universal algebra, model theory, logic, and computer science. The aim of this book is to provide an exposition of the theory and applications of these categories.

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Title: Locally Presentable and Accessible ...
Publisher: Cambridge University Press
Publication Date: 1994
Binding: Paperback
Book Condition: Good
Edition: 1.

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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # AAV9780521422611

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J. Adamek; J. Rosicky
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Book Description CAMBRIDGE UNIVERSITY PRESS, United Kingdom, 2004. Paperback. Condition: New. Language: English. Brand new Book. 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. Seller Inventory # AAV9780521422611

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