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The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model by Krzysztof Ciesielski, Janusz Pawlikowski (Hardcover, 2004)
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About this product
Product Information
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.Product Identifiers
PublisherCambridge University Press
ISBN-139780521839204
eBay Product ID (ePID)88327732
Product Key Features
Number of Pages198 Pages
Publication NameThe Covering Property Axiom, Cpa: a Combinatorial Core of the Iterated Perfect Set Model
LanguageEnglish
SubjectMathematics
Publication Year2004
TypeTextbook
AuthorKrzysztof Ciesielski, Janusz Pawlikowski
SeriesCambridge Tracts in Mathematics
FormatHardcover
Dimensions
Item Height229 mm
Item Weight460 g
Item Width152 mm
Additional Product Features
Country/Region of ManufactureUnited Kingdom
Title_AuthorJanusz Pawlikowski, Krzysztof Ciesielski
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