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  • 1
    Book
    Book
    Cambridge ; New York, NY :Cambridge University Press,
    Show associated volumes
    UID:
    almafu_BV009590430
    Format: XIV, 316 Seiten : , Illustrationen, Diagramme ; , 23 cm.
    Edition: 1. publ.
    ISBN: 0-521-42261-2
    Series Statement: London Mathematical Society: London Mathematical Society lecture note series 189
    Note: Hier auch später erschienene, unveränderte Nachdrucke , Partial contents: Preface -- Introduction -- Preliminaries -- Locally presentable categories -- Accessible categories -- Algebraic categories -- Injectivity classes -- Categories of models -- Vopĕnka's principle -- Appendix: large cardinals , Review: "The concepts of a locally presentable category and an accessible category have turned out to be 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." "First the concepts of [lambda]-presentable objects, locally [lambda]-presentable categories, and [lambda]-accessible categories are discussed in detail. The authors go on to 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." "For researchers in category theory, algebra, computer science, and model theory, this book will be a necessary purchase."--BOOK JACKET
    Language: English
    Subjects: Mathematics
    RVK:
    RVK:
    Keywords: Kategorie
    Author information: Adámek, Jiří 1947-
    Author information: Rosický, Jiří 1946-
    Library Location Call Number Availability
    Stabi Berlin Potsdamer Straße1 A 191997available
    HU Berlin ZwB Naturwissenschaften, FreihandbestandSK 320 A197available
    FU Berlin Campusbibliothek, Neubau Untergeschoss - Selbstausleihe/Nutzung vor OrtSK 320 A197 C3reference
    UB Potsdam UB / BB Golm im IKMZSI 320 189available
    BTU Cottbus Cottbus-Zentralcampus, MagazinMagazin-01available
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  • 2
    Online Resource
    Online Resource
    Cambridge :Cambridge University Press,
    UID:
    almahu_9948233994102882
    Format: 1 online resource (xiv, 316 pages) : , digital, PDF file(s).
    ISBN: 9780511600579 (ebook)
    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). , Preliminaries -- , Locally presentable categories -- , Accessible categories -- , Algebraic categories -- , Injectivity classes -- , Categories of models -- , Vopĕnka's principle -- , large cardinals.
    Additional Edition: Print version: ISBN 9780521422611
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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  • 3
    Online Resource
    Online Resource
    Cambridge : Cambridge University Press
    UID:
    gbv_883379821
    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, 1947 - 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
    RVK:
    RVK:
    Keywords: Kategorientheorie
    Author information: Adámek, Jiří 1947-
    Author information: Rosický, Jiří 1946-
    Library Location Call Number Volume/Issue/Year Availability
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  • 4
    Online Resource
    Online Resource
    Cambridge ; : Cambridge University Press,
    UID:
    almafu_9959234626902883
    Format: 1 online resource (xiv, 316 pages) : , digital, PDF file(s).
    ISBN: 1-139-88193-0 , 1-107-36669-0 , 1-107-37137-6 , 1-107-36178-8 , 1-107-36920-7 , 1-299-40444-8 , 1-107-36423-X , 0-511-60057-7
    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). , Preliminaries -- , Locally presentable categories -- , Accessible categories -- , Algebraic categories -- , Injectivity classes -- , Categories of models -- , Vopĕnka's principle -- , large cardinals. , English
    Additional Edition: ISBN 0-521-42261-2
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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