The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model (Cambridge Tracts in Mathematics, Series Number 164)

Ciesielski, Krzysztof,Pawlikowski, Janusz

ISBN 10: 0521839203 / ISBN 13: 9780521839204

Published by Cambridge University Press, 2004

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Bibliographic Details

• Title: The Covering Property Axiom, CPA: A Combinatorial Core of the Iterated Perfect Set Model (Cambridge Tracts in Mathematics, Series Number 164)
• Publisher: Cambridge University Press
• Publication Date: 2004
• Language: English
• ISBN 10: 0521839203
• ISBN 13: 9780521839204
• Binding: hardcover
• Condition: Good

About this title

Synopsis

This book explores a new axiom of set theory--CPA, the Covering Property Axiom. CPA is consistent with the usual ZFC axioms. 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 CPAs simplifies proofs, provides deeper insight, and leads to new results. Researchers who use set theory in their work will find much of interest in this book.

About the Authors

Krzysztof Ciesielski is Professor of Mathematics at West Virginia University.

Janusz Pawlikowksi is Professor of Mathematics at Wroclaw University.