The Covering Property Axiom, CPA

English

Series: Cambridge Tracts in Mathematics Ser.

Volume: Vol. 164

ISBN: 0511208456

EAN: 9780511208454

Category: Mathematics / Set Theory

Publisher: Cambridge University Press

Release Date: 08/23/2004

Synopsis: 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.

Excerpt: Unknown Property Excerpt

The Covering Property Axiom, CPA

Illustrated: No

Format: eBook - PDF

Pages: 200