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Algebraic Set Theory
Contributor(s): Joyal, Andri (Author), Moerdijk, Ieke (Author)

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 ISBN: 0511752482     ISBN-13: 9780511752483
Publisher: Cambridge University Press
OUR PRICE: $140.25  

Binding Type: Open Ebook - See All Available Formats & Editions
Published: August 2010
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Temporarily out of stock - Will ship within 2 to 5 weeks

Click for more in this series: London Mathematical Society Lecture Note
Additional Information
BISAC Categories:
- Mathematics | Logic
- Mathematics | Set Theory
Dewey: 511.322
Series: London Mathematical Society Lecture Note
Features: Maps, Price on Product
 
Descriptions, Reviews, Etc.
Publisher Description:
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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