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The Covering Property Axiom, CPA : A Combinatorial Core of the Iterated Perfect Set Model - Krzysztof Ciesielski

The Covering Property Axiom, CPA

A Combinatorial Core of the Iterated Perfect Set Model

Hardcover

Published: 23rd August 2004
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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.

Axiom CPAcube and its consequences: properties (A)-(E)
Games and axiom CPAgame/cube
Prisms and axioms CPAgame/prism and CPAprism
CPAprism and coverings with smooth functions
Applications of CPAgame/prism
CPA and properties (F*) and (G)
CPA in the Sacks model
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521839204
ISBN-10: 0521839203
Series: Cambridge Tracts in Mathematics
Audience: Professional
Format: Hardcover
Language: English
Number Of Pages: 198
Published: 23rd August 2004
Publisher: Cambridge University Press
Country of Publication: GB
Dimensions (cm): 22.8 x 15.2  x 1.6
Weight (kg): 0.46