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

Ciesielski, Krzysztof and Pawlikowski, Janusz.

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A tile in the series “ Cambridge Tracts in Mathematics”, it is very scholarly. Really the only thing I can understand about it is that researchers who use set theory in their work will find much of interest in this book. Otherwise, from the inside of the jacket…’The authors formulate and explore a new axiom of set theory CPA, the Covering Property Axiom…replacing iterated forcing arguments with deductions from CPA simplifies proofs, provides deeper insight and leads to new results’.

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SKU: 9780521839204


Description

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.

Book Details

Author Ciesielski, Krzysztof and Pawlikowski, Janusz.
Format HC
Publisher Cambridge
Publish Date 0/01/1900
Catalogue Aug18
Catalogue book number 208