Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Let’s Be Independent
- Part II What is New in Set Theory
- 10 Introduction to Part Two
- 11 Classical Extensions
- 12 Iterated Forcing and Martin’s Axiom
- 13 Some More Large Cardinals
- 14 Limitations of Martin’s Axiom and Countable Supports
- 15 Proper Forcing and PFA
- 16 N2 and other Successors of Regulars
- 17 Singular Cardinal Hypothesis and Some PCF
- 18 Forcing at Singular Cardinals and Their Successors
- References
- Index
17 - Singular Cardinal Hypothesis and Some PCF
from Part II - What is New in Set Theory
Published online by Cambridge University Press: 28 September 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Part I Let’s Be Independent
- Part II What is New in Set Theory
- 10 Introduction to Part Two
- 11 Classical Extensions
- 12 Iterated Forcing and Martin’s Axiom
- 13 Some More Large Cardinals
- 14 Limitations of Martin’s Axiom and Countable Supports
- 15 Proper Forcing and PFA
- 16 N2 and other Successors of Regulars
- 17 Singular Cardinal Hypothesis and Some PCF
- 18 Forcing at Singular Cardinals and Their Successors
- References
- Index
Summary
Not that long after the discovery of Cohen’s forcing, William Easton [28] generalised Cohen’s idea of dealing with the power set of one fixed regular cardinal by being able to deal with a whole class of regular cardinals simultaneously. Namely, he proved:
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- Information
- Fast Track to Forcing , pp. 126 - 132Publisher: Cambridge University PressPrint publication year: 2020