Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


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

About this Title

Thomas Jech and Karel Prikry

Publication: Memoirs of the American Mathematical Society
Publication Year: 1979; Volume 18, Number 214
ISBNs: 978-0-8218-2214-2 (print); 978-1-4704-0449-9 (online)
DOI: https://doi.org/10.1090/memo/0214
MathSciNet review: 519927
MSC: Primary 03E50; Secondary 03E05, 04A20, 04A30

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • 0. Introduction
  • 1. Ideals over uncountable sets
  • 2. Generic ultrapowers
  • 3. Saturation of ideals and the G.C.H.
  • 4. The singular cardinals problem
  • 5. Almost disjoint functions
  • 6. Applications of almost disjoint functions
  • 7. Nonregular ultrafilters and the G.C.H.