The Covering Property Axiom, CPA
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The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model(Series Number 164 Cambridge Tracts in Mathematics)

The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model(Series Number 164 Cambridge Tracts in Mathematics)


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About the Book

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 Sacks model easily follow from CPA. Replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight, and leads to new results. One may say that CPA is similar in nature to Martin's axiom, as both capture the essence of the models of ZFC in which they hold. The exposition is self contained and there are natural applications to real analysis and topology. Researchers who use set theory in their work will find much of interest in this book.

Table of Contents:
1. Axiom CPAcube and its consequences: properties (A)-(E); 2. Games and axiom CPAgame/cube; 3. Prisms and axioms CPAgame/prism and CPAprism; 4. CPAprism and coverings with smooth functions; 5. Applications of CPAgame/prism; 6. CPA and properties (F*) and (G); 7. CPA in the Sacks model.

About the Author :
Krzysztof Ciesielski is Professor of Mathematics at West Virginia University. Janusz Pawlikowksi is Professor of Mathematics at Wroclaw University.


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Product Details
  • ISBN-13: 9780521839204
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Height: 229 mm
  • No of Pages: 198
  • Returnable: N
  • Series Title: Series Number 164 Cambridge Tracts in Mathematics
  • Sub Title: A Combinatorial Core of the Iterated Perfect Set Model
  • Width: 152 mm
  • ISBN-10: 0521839203
  • Publisher Date: 23 Aug 2004
  • Binding: Hardback
  • Language: English
  • Returnable: N
  • Returnable: N
  • Spine Width: 16 mm
  • Weight: 460 gr


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