Forcing Idealized - Zapletal Jindrich | Libro Cambridge University Press 02/2008 - HOEPLI.it


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zapletal jindrich - forcing idealized

Forcing Idealized




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Dettagli

Genere:Libro
Lingua: Inglese
Pubblicazione: 02/2008





Sommario

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




Prefazione

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.




Trama

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.







Altre Informazioni

ISBN:

9780521874267

Condizione: Nuovo
Collana: Cambridge Tracts in Mathematics
Dimensioni: 234 x 21 x 160 mm Ø 638 gr
Formato: Copertina rigida
Illustration Notes:3 b/w illus. 26 exercises
Pagine Arabe: 320






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