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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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Bibliographic Details
Call Number:Libro Electrónico
Main Author: Ciesielski, Krzysztof, 1957-
Other Authors: Pawlikowski, Janusz, 1957-
Format: Electronic eBook
Language:Inglés
Published: Cambridge, UK ; New York : Cambridge University Press, 2004.
Series:Cambridge tracts in mathematics ; 164.
Subjects:
Online Access:Texto completo
Table of Contents:
  • 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.