Format:
1 Online-Ressource (xiv, 316 pages)
,
digital, PDF file(s).
ISBN:
9780511600579
Series Statement:
London Mathematical Society lecture note series 189
Content:
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.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
,
Preface -- Introduction -- Preliminaries -- Locally presentable categories -- Accessible categories -- Algebraic categories -- Injectivity classes -- Categories of models -- Vopĕnka's principle -- Appendix: large cardinals.
Additional Edition:
ISBN 9780521422611
Additional Edition:
ISBN 9780521422611
Additional Edition:
ISBN 9780521422611
Additional Edition:
Erscheint auch als Adámek, Jiří Locally presentable and accessible categories Cambridge [u.a.] : Cambridge Univ. Press, 1994 ISBN 0521422612
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9780521422611
Language:
English
Subjects:
Mathematics
Keywords:
Kategorientheorie
DOI:
10.1017/CBO9780511600579
Author information:
Rosický, Jiří 1946-
