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Informationen zum Autor Saharon Shelah works in the Institute of Mathematics at the Hebrew University of Jerusalem and in the Department of Mathematics at Rutgers University, New Jersey. Klappentext This book presents the theory of proper forcing and its relatives from the beginning. No prior knowledge of forcing is required. Zusammenfassung The author gives a complete presentation of the theory of proper forcing and its relatives! starting from the beginning. No prior knowledge of forcing is required. Inhaltsverzeichnis Introduction; 1. Forcing, basic facts; 2. Iteration of forcing; 3. Proper forcing; 4. On oracle-c.c., the lifting problem of the measure algebra, and 'P(w)/finite has no trivial automorphism'; 5. ¿-properness and not adding reals; 6. Preservation of additional properties, and applications; 7. Axioms and their application; 8. ¿-pic and not adding reals; 9. Souslin hypothesis does not imply 'every Aronszajn tree is special'; 10. On semi-proper forcing; 11. Changing confinalities; equi-consistency results; 12. Improper forcing; 13. Large ideals on w1; 14. Iterated forcing with uncountable support; 15. A more general iterable condition ensuring ¿1 is not collapsed; 16. Large ideals on ¿1 from smaller cardinals; 17. Forcing axioms; 18. More on proper forcing; Appendix. On weak diamonds and the power of ext; References; More references.
