Algebraic Set Theory

Algebraic Set Theory

  • Electronic book text
By (author)  , By (author) 

List price: US$37.00

Currently unavailable

We can notify you when this item is back in stock

Add to wishlist

AbeBooks may have this title (opens in new window).

Try AbeBooks

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 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.show more

Product details

  • Electronic book text
  • CAMBRIDGE UNIVERSITY PRESS
  • Cambridge University Press (Virtual Publishing)
  • Cambridge, United Kingdom
  • 1139243799
  • 9781139243797

Review quote

"Graduate students and researchers in mathematical logic, category theory and computer science should find this book of great interest." Ioan Tofan, Mathematical Reviewsshow more

Table of contents

1. Axiomatic theory of small maps; 2. Zermelo-Fraenkel algebras; 3. Existence theorems; 4. Examples.show more