The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model (Cambridge Tracts in Mathematics, Series Number 164) by Krzysztof Ciesielski (Author), Janusz Pawlikowski (Author)
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ISBN: 9780521839204
Publisher : Cambridge University Press; 1st edition (August 23, 2004)
Hardcover : 198 pages
This book explores a new axiom of set theory--CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms. 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 CPAs simplifies proofs, provides deeper insight, and leads to new results. Researchers who use set theory in their work will find much of interest in this book.