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The Covering property Axiom, CPA : a combinatorial core of the iterated perfect set model /
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 Sac...
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge, UK ; New York :
Cambridge University Press,
2004.
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| Colección: | Cambridge tracts in mathematics ;
164. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | 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. |
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| Descripción Física: | 1 online resource (xxi, 174 pages) |
| Bibliografía: | Includes bibliographical references (pages 165-171) and index. |
| ISBN: | 0511212038 9780511212031 0521839203 9780521839204 0511217404 9780511217401 0511215614 9780511215612 0511546459 9780511546457 051131597X 9780511315978 |