The Covering Property Axiom, CPA 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2025

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Ciesielski, Krzysztof/ Pawlikowski, Janusz 作者

译者

2004-8 出版日期

200 页数

$ 135.60 价格

Cambridge Tracts in Mathematics 丛书系列

9780521839204 图书编码

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The Covering Property Axiom, CPA 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2025

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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.

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