Saharon Shelah

Proper and Improper Forcing

• Gebundenes Buch

Produktbeschreibung

This book presents the theory of proper forcing and its relatives from the beginning. No prior knowledge of forcing is required.

Produktdetails

• Verlag: European Community
• 2nd Revised edition
• Seitenzahl: 1066
• Erscheinungstermin: 3. Mai 2017
• Englisch
• Abmessung: 245mm x 161mm x 61mm
• Gewicht: 1687g
• ISBN-13: 9781107168367
• ISBN-10: 1107168368
• Artikelnr.: 47721677

Autorenporträt

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.

Inhaltsangabe

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.