Title: Algebraic Set Theory (London Mathematical Society Lecture Note Series, Series Number 220) (Volume 0)
Publisher: Cambridge University Press
Publication Date: 2008
Language: English
ISBN 10: 0521558301
ISBN 13: 9780521558303
Binding: Soft cover
Condition: New

About this title

Synopsis

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.

Book Description

Offering a new algebraic approach to set theory, this text introduces a particular kind of algebra, the Zermelo-Fraenkel algebras, which arise from the familiar axioms of Zermelo-Fraenkel set theory. Furthermore, it explicitly constructs such algebras using the theory of bisimulations.

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