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Algebraic Set Theory

Algebraic Set Theory

Algebraic Set Theory

Andri Joyal, Université du Québec, Montréal
Ieke Moerdijk, Universiteit Utrecht, The Netherlands
September 1995
Paperback
9780521558303
$63.00
USD
Paperback
USD
eBook

    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 such 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 realisability 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 some background in categorical logic.

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

    Product details

    September 1995
    Paperback
    9780521558303
    132 pages
    229 × 154 × 8 mm
    0.21kg
    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