| Forcing Idealized Contributor(s): Zapletal, Jindrich (Author) |
|
 |
ISBN: 0521874262 ISBN-13: 9780521874267 Publisher: Cambridge University Press OUR PRICE: $134.90 Product Type: Hardcover - Other Formats Published: February 2008 Annotation: Descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other. This monograph unites them and explores the connections between them. Forcing is presented in terms of quotient algebras of various natural sigma-ideals on Polish spaces, and forcing properties in terms of Fubini-style properties or in terms of determined infinite games on Boolean algebras. Many examples of forcing notions appear, some newly isolated from measure theory, dynamical systems, and other fields. The descriptive set theoretic analysis of operations on forcings opens the door to applications of the theory: absoluteness theorems for certain classical forcing extensions, duality theorems, and preservation theorems for the countable support iteration. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis and measure theory. |
| Additional Information |
| BISAC Categories: - Mathematics | Set Theory - Mathematics | Logic - Mathematics | Combinatorics |
| Dewey: 511.322 |
| LCCN: 2008273510 |
| Series: Cambridge Tracts in Mathematics (Hardcover) |
| Physical Information: 0.87" H x 6.02" W x 9.21" (1.40 lbs) 320 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: This book unites descriptive set theory and definable proper forcing and explores the relations between them. Both forcing and descriptive set theory are explained independently, their sub-areas described, following their commitment to each other. Containing original research, this text highlights the connections that forcing makes with other areas of mathematics, and is essential reading for academic researchers and graduate students in set theory, abstract analysis, and measure theory. |