Ideals over uncountable sets : application of almost disjoint functions and generic ultrapowers /

This work is a systematic study of ideals over uncountable sets. In particular, we investigate the role of various properties of ideals in arithmetic of cardinal numbers. We also study consequences of existence of precipitous ideals for the generalized continuum hypothesis and the singular cardinals...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Jech, Thomas J., Prikry, Karel, 1944- (Author)
Format: Electronic eBook
Language:Inglés
Published: Providence : American Mathematical Society, 1979.
Series:Memoirs of the American Mathematical Society ; no. 214.
Subjects:
Combinatorial set theory.
Cardinal numbers.
Ideals (Algebra)
Théorie combinatoire des ensembles.
Nombres cardinaux.
Idéaux (Algèbre)
Cardinal numbers
Combinatorial set theory
Online Access:Texto completo
Table of Contents:
  • Introduction
  • Ideals over uncountable sets
  • Generic ultrapowers
  • Saturation of ideals and the G.C.H.
  • The singular cardinals problem
  • Almost disjoint functions
  • Applications of almost disjoint functions
  • Nonregular ultrafilters and the G.C.H.

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