Cambridge Tracts in Mathematics Series Number 174: Forcing Idealized

Cambridge Tracts in Mathematics
  • Engels
  • Hardcover
  • 9780521874267
  • Druk: 1
  • februari 2008
  • 320 pagina's
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Samenvatting

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.

Productspecificaties

Inhoud

Taal
Engels
Bindwijze
Hardcover
Druk
1
Verschijningsdatum
2008-02-07
Aantal pagina's
320 pagina's
Illustraties
Nee

Betrokkenen

Auteur
Jindrich Zapletal
Uitgever
Cambridge University Press

EAN

EAN
9780521874267

Overige kenmerken

Extra groot lettertype
Nee
Oorspronkelijke releasedatum
2008-02-07
Subtitel
Series Number 174: Forcing Idealized
Thema Subject Code
PBC

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