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Algebraic Set Theory

Algebraic Set Theory

$62.99 (C)

Part of London Mathematical Society Lecture Note Series

  • Date Published: October 1995
  • availability: Available
  • format: Paperback
  • isbn: 9780521558303

$ 62.99 (C)
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  • This book offers a new algebraic approach to set theory. The authors introduce a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, the authors explicitly construct these algebras using the theory of bisimulations. Their approach is completely constructive, and contains both intuitionistic set theory and topos theory. In particular it provides a uniform description of various constructions of the cumulative hierarchy of sets in forcing models, sheaf models and realizability models. Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest, and it should be accessible to anyone with a background in categorical logic.

    • First treatment of this material
    • Well respected authors who hardly ever publish anything
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    Reviews & endorsements

    "Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest." Ioan Tofan, Mathematical Reviews

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    Product details

    • Date Published: October 1995
    • format: Paperback
    • isbn: 9780521558303
    • length: 132 pages
    • dimensions: 229 x 154 x 8 mm
    • weight: 0.21kg
    • availability: Available
  • Table of Contents

    1. Axiomatic theory of small maps
    2. Zermelo-Fraenkel algebras
    3. Existence theorems
    4. Examples.

  • Authors

    Andri Joyal, Université du Québec, Montréal

    Ieke Moerdijk, Universiteit Utrecht, The Netherlands

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