Lectures in set theory : with particular emphasis on the method of forcing

著者

• Jech, Thomas J.

書誌事項

Lectures in set theory : with particular emphasis on the method of forcing

Thomas J. Jech

（Lecture notes in mathematics, 217）

Springer-Verlag, 1971

• : u.s.
• : Germany

注記

Bibliography: p. 131-135

内容説明・目次

目次

Formulas and classes.- Axioms of Zermelo-Fraenkel.- Ordinal numbers.- Cardinal numbers.- Finite sets.- Real numbers.- Axiom of choice.- Cardinal arithmetic.- Axiom of regularity.- Transitive models.- Constructible sets.- Consistency of AC and GCH.- More on transitive models.- Ordinal definability.- Remarks on complete boolean algebras.- The method of forcing and boolean - valued models.- Independence of the continuum hypothesis and collapsing of cardinals.- Two applications of boolean-valued models in the theory of boolean algebras.- Lebesgue measurability.- Suslin's problem.- Martin's axiom.- Perfect forcing.- Remark on ordinal definability.- Independence of AC.- Fraenkel-mostowski models.- Embedding of FM models in models of ZF.

「Nielsen BookData」 より

詳細情報

• NII書誌ID(NCID): BA06810404
• ISBN:
  • 0387055649
  • 3540055649
• LCCN: 70171872
• 出版国コード: gw
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Berlin
• ページ数/冊数: 137 p.
• 大きさ: 26 cm
• 分類:
  • LCC : QA3
  • LCC : QA9
  • DC : 511/.3
• 件名:
  • LCSH : Set theory
• 親書誌ID:
  • BA00146586