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Locally Presentable and Accessible Categories

Locally Presentable and Accessible Categories

$109.95

Part of London Mathematical Society Lecture Note Series

  • Date Published: March 1994
  • availability: Available
  • format: Paperback
  • isbn: 9780521422611

$ 109.95
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  • 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.

    • Contains many applications of theory to computer science
    • The only comprehensive work on this subject in English
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    Product details

    • Date Published: March 1994
    • format: Paperback
    • isbn: 9780521422611
    • length: 332 pages
    • dimensions: 229 x 152 x 19 mm
    • weight: 0.49kg
    • availability: Available
  • Table of Contents

    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.

  • Authors

    J. Adamek

    J. Rosicky

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