TY - BOOK
AU - Joyal,Andri
AU - Moerdijk,Ieke
TI - Algebraic Set Theory
T2 - London Mathematical Society Lecture Note Series
SN - 9780511752483 (ebook)
AV - QA248 .J69 1995
U1 - 511.3/22 20
PY - 1995///
CY - Cambridge
PB - Cambridge University Press
KW - Set theory
N1 - Title from publisher's bibliographic system (viewed on 16 Oct 2015)
N2 - 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
UR - http://dx.doi.org/10.1017/CBO9780511752483
ER -