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Cardinal Arithmetic

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1. Basic confinalities of small reduced products ; 2. *N*w+1 has a Jonsson algebra ; 3. There are Jonsson algebras in many inaccessible cardinals ; 4. Jonsson algebras in inaccessibles *P , not *P-Mahlo ; 5. Bounding pp( ) when > cf( ) > *N[0 using ranks and normal filters ; 6. Bounds of power of singulars: Induction ; 7. Strong covering lemma and CH in V[r] ; 8. Advanced: Cofinalities of reduced products ; 9. Cardinal Arithmetic ; Appendix 1: Colorings ; Appendix 2: Entangled orders and narrow Boolean algebras


The mathematics here will remain an important summit of the subject and the Editors have the good fortune of having obtained a landmark volume for the Logic Guide Series. Proceedings of the Edinburgh Mathematical Society 1998 (41) This book is a great step forward in the development of set theory. Mathematical Reviews Clipping. This is a very important book. It is essential reading for anyone working in set theory and its applications. Bull.London Math.Soc.

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