Algebraic set theory

著者

• Joyal, André
• Moerdijk, Ieke

書誌事項

Algebraic set theory

A. Joyal, I. Moerdijk

（London Mathematical Society lecture note series, 220）

Cambridge University Press, 1995

• : pbk

注記

Includes bibliographical references (p. 117-119) and index

内容説明・目次

内容説明

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.

目次

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

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA25893602
• ISBN:
  • 0521558301
• LCCN: 95015173
• 出版国コード: uk
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Cambridge ; New York
• ページ数/冊数: viii, 123 p.
• 大きさ: 23 cm
• 分類:
  • LCC : QA248
  • DC20 : 511.3/22
  • NDC8 : 410.9
• 件名:
  • LCSH : Set theory
• 親書誌ID:
  • BA0005393X