1.

Record Nr.

UNINA9910788746003321

Autore

Zapletal Jindřich <1969->

Titolo

Descriptive set theory and definable forcing / / Jindřich Zapletal

Pubbl/distr/stampa

Providence, Rhode Island : , : American Mathematical Society, , [2004]

©2004

ISBN

1-4704-0391-9

Descrizione fisica

1 online resource (158 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; number 793

Disciplina

510 s

511.3/22

Soggetti

Descriptive set theory

Forcing (Model theory)

Continuum hypothesis

Borel sets

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"Volume 167, number 793 (third of 5 numbers)."

Nota di bibliografia

Includes bibliographical references (pages 137-140) and index.

Nota di contenuto

""3.5 Other dichotomies""""3.6 Cardinal invariants of the iterated ideals""; ""4 Other forcings""; ""4.1 Illfounded iterations""; ""4.1.1 Strongly proper forcings""; ""4.1.2 The ideals associated with countable length iterations""; ""4.1.3 The properties of the factor ordering""; ""4.1.4 The uncountable length""; ""4.1.5 Sacks forcing iteration""; ""4.2 Towers of ideals""; ""4.2.1 Shooting a club with no infinite subset in the ground model""; ""4.2.2 Shooting a club with finite intersection with every ground model ordertype w set""; ""5 Applications""

""D: Large cardinals""""D.1 The absoluteness results""; ""D.2 The determinacy results""