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Hardcover The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model Book

ISBN: 0521839203

ISBN13: 9780521839204

The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model

(Book #164 in the Cambridge Tracts in Mathematics Series)

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...

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Math Mathematics Science & Math

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