The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model Ebook
By Janusz Pawlikowski, Krzysztof Ciesielski
Language: English
Publish Year : 2004
Info: Online Library. E-Book readable online or download on PDF DJVU TXT DOC MP3 CFM mobi and more formats for PC PDA MAC IPAD IPHONE Nook Kindle Android Tablets mobile phone and more devices. You can find AUDIO Books in mp3 formats
E-Book review: 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 a self contained and there are natural applications to real analysis and topology. Researchers that use set theory in their work will find much of interest in this book. Book Description This book explores a new axiom of set theory,CPA, the Covering Property Axiom. CPA is consistent with the usualZFC axioms, indeed it is true in the iterated Sacks model andactually captures the combinatorial core of this model. A plethora ofresults known to be true in the Sacks model easily follow from CPA.Replacing iterated forcing arguments with deductions from CPAsimplifies proofs, provides deeper insight, and leads to new results.Researchers that use set theory in their work will find much of interest in this book.
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