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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Algebraic Set Theory

Algebraic Set Theory

Moerdijk, Izak
Joyal, Andre
Joyal, Andri

Paperback

Series: London Mathematical Society Lecture Note, Book 220

AlgebraGeneral MathematicsGeneral Science

ISBN10: 0521558301
ISBN13: 9780521558303
Publisher: Cambridge University Press
Published: Sep 14 1995
Pages: 132
Weight: 0.43
Height: 0.33 Width: 6.07 Depth: 9.00
Language: English
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.

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