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Axiomatic set theory

Autor: Gaisi Takeuti; Wilson M Zaring
Editora: New York, Springer-Verlag [1973]
Séries: Graduate texts in mathematics, 8.
Edição/Formato   Imprimir livro : InglêsVer todas as edições e formatos
Base de Dados:WorldCat
Resumo:

This text deals with three basic techniques for constructing models of Zermelo-Fraenkel set theory: relative constructibility, Cohen's forcing, and Scott-Solovay's method of Boolean valued models.  Ler mais...

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Detalhes

Formato Físico Adicional: Online version:
Takeuti, Gaisi, 1926-
Axiomatic set theory.
New York, Springer-Verlag [1973]
(OCoLC)625008754
Tipo de Material: Recurso Internet
Tipo de Documento Livro, Recursos de internet
Todos os Autores / Contribuintes: Gaisi Takeuti; Wilson M Zaring
ISBN: 0387900519 9780387900513 0387900500 9780387900506 3540900500 9783540900504
Número OCLC: 622025
Notas: A continuation of the authors' Introduction to axiomatic set theory (1971).
Descrição: 238 pages illustrations 24 cm.
Conteúdos: 1. Boolean Algebra.- 2. Generic Sets.- 3. Boolean ?-Algebras.- 4. Distributive Laws.- 5. Partial Order Structures and Topological Spaces.- 6. Boolean-Valued Structures.- 7. Relative Constructibility.- 8. Relative Constructibility and Ramified Languages.- 9. Boolean-Valued Relative Constructibility.- 10. Forcing.- 11. The Independence of V = L and the CH.- 12. independence of the AC.- 13. Boolean-Valued Set Theory.- 14. Another Interpretation of V(B).- 15. An Elementary Embedding of V[F0] in V(B).- 16. The Maximum Principle.- 17. Cardinals in V(B).- 18. Model Theoretic Consequences of the Distributive Laws.- 19. Independence Results Using the Models V(B).- 20. Weak Distributive Laws.- 21. A Proof of Marczewski's Theorem.- 22. The Completion of a Boolean Algebra.- 23. Boolean Algebras that are not Sets.- 24. Easton's Model.- Problem List.- Index of Symbols.
Título da Série: Graduate texts in mathematics, 8.
Responsabilidade: [by] G. Takeuti [and] W.M. Zaring.

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