The Covering Property Axiom, CPA 2024 pdf epub mobi 电子书

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发表于2024-11-13

The Covering Property Axiom, CPA 2024 pdf epub mobi 电子书

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出版者:

作者:Ciesielski, Krzysztof/ Pawlikowski, Janusz

出品人:

页数:200

译者:

出版时间:2004-8

价格:$ 135.60

装帧:

isbn号码:9780521839204

丛书系列:Cambridge Tracts in Mathematics

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The Covering Property Axiom, CPA 2024 pdf epub mobi 电子书图书描述

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.

The Covering Property Axiom, CPA 2024 pdf epub mobi 电子书

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