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Forcing Idealized - Jindrich Zapletal

Forcing Idealized

Buch | Hardcover
320 Seiten
2008
Cambridge University Press (Verlag)
978-0-521-87426-7 (ISBN)
CHF 189,95 inkl. MwSt
Though descriptive set theory and definable proper forcing are two areas of set theory that developed quite independently of each other, there are deep connections to be made between them. This monograph explores these links, and many examples of forcing notions appear, from measure theory, dynamical systems, and other fields.
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.

1. Introduction; 2. Basics; 3. Properties; 4. Examples; 5. Operations; 6. Applications; 7. Questions; Bibliography; Index.

Erscheint lt. Verlag 7.2.2008
Reihe/Serie Cambridge Tracts in Mathematics
Zusatzinfo Worked examples or Exercises; 3 Line drawings, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 160 x 234 mm
Gewicht 638 g
Themenwelt Mathematik / Informatik Mathematik Allgemeines / Lexika
ISBN-10 0-521-87426-2 / 0521874262
ISBN-13 978-0-521-87426-7 / 9780521874267
Zustand Neuware
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