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The Covering property Axiom, CPA : a combinatorial core of the iterated perfect set model /

Here the authors formulate and explore a new axiom of set theory, CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms, indeed it is true in the iterated Sacks model and actually captures the combinatorial core of this model. A plethora of results known to be true in the Sac...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Ciesielski, Krzysztof, 1957-
Otros Autores: Pawlikowski, Janusz, 1957-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Cambridge, UK ; New York : Cambridge University Press, 2004.
Colección:Cambridge tracts in mathematics ; 164.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 1. Axiom CPA[subscript cube] and its consequences : properties (A)-(E)
  • 2. Games and axiom CPA[subscript cube][superscript game]
  • 3. Prisms and axioms CPA[subscript prism][superscript game] and CPA[subscript prism]
  • 4. CPA[subscript prism] and coverings with smooth functions
  • 5. Applications of CPA[subscript prism][superscript game]
  • 6. CPA and properties (F[superscript *]) and (G)
  • 7. CPA in the Sacks model.