The Covering Property Axiom, CPA
A Combinatorial Core of the Iterated Perfect Set Model
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Covering Property Axiom, CPA by Krzysztof Ciesielski
Book DescriptionHere 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.
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Book DetailsISBN: 9780521839204
(228mm x 152mm x 16mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 23-Aug-2004
Country of Publication: United Kingdom
Books By Author Krzysztof Ciesielski
Set Theory for the Working Mathematician, Paperback (August 1997)» View all books by Krzysztof Ciesielski
Presents those methods of modern set theory most applicable to other areas of pure mathematics.
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Author Biography - Krzysztof Ciesielski
Krzysztof Ciesielski is Professor of Mathematics at West Virginia University. Janusz Pawlikowksi is Professor of Mathematics at Wroclaw University.
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