TABLE OF CONTENTS
Page
0. Introduction 1
1. Ideals over uncountable sets 6
2. Generic ultrapowers 16
3. Saturation of ideals and the G.C.H 30
4. The singular cardinals problem 45
5. Almost disjoint functions 54
6. Applications of almost disjoint functions 64
7. Nonregular ultrafilters and the G.C.H 67
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