ENGLISH

Algebraic Set Theory

By Ieke Moerdijk , Andri Joyal

Book information

Publisher
Cambridge University Press
Year
1995
ISBN
0521558301, 9780521558303
LCC
QA248 .J69 1995
Open Library ID
OL783177M
Language
english
Format
DJVU
Filesize
654 kB (669529 bytes)
Series
London Mathematical Society Lecture Note, Vol. 220
Pages
132\132
DPI
300
Scanned
yes
Time added
2012-02-04 16:00:00

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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