Format:
1 Online-Ressource (xxi, 174 pages)
,
digital, PDF file(s).
ISBN:
9780511546457
Series Statement:
Cambridge tracts in mathematics 164
Content:
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.
Content:
1. Axiom CPA[subscript cube] and its consequences : properties (A)-(E) -- 2. Games and axiom CPA[subscript cube][superscript game] -- 3. Prisms and axioms CPA[subscript prism][superscript game] and CPA[subscript prism] -- 4. CPA[subscript prism] and coverings with smooth functions -- 5. Applications of CPA[subscript prism][superscript game] -- 6. CPA and properties (F[superscript *]) and (G) -- 7. CPA in the Sacks model
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015)
Additional Edition:
ISBN 9780521839204
Additional Edition:
ISBN 9780521839204
Additional Edition:
Erscheint auch als Ciesielski, Krzysztof, 1957 - The covering property axiom, CPA Cambridge [u.a.] : Cambridge Univ. Press, 2004 ISBN 0521839203
Additional Edition:
Print version ISBN 9780521839204
Language:
English
Subjects:
Mathematics
Keywords:
Axiomatische Mengenlehre
DOI:
10.1017/CBO9780511546457
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