ENGLISH

The covering property axiom, CPA: A combinatorial core of the iterated perfect set model

By Krzysztof Ciesielski , Janusz Pawlikowski

Book information

Publisher
Cambridge University Press
Year
2004
ISBN
0521839203, 9780521839204, 9780511217401
Open Library ID
OL7766066M
Language
english
Format
PDF
Filesize
1 MB (1114455 bytes)
Series
Cambridge Tracts in Mathematics
Edition
CUP
Pages
198\198
Library
Kolxo3
Scanned
yes
Time added
2009-07-20 03:45:11

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 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.

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