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
10 - Introduction to Part Two
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
In this part we discuss results in set theory that have been obtained since the invention of forcing and up to now. So, not everything in this part is exactly new, but it goes beyond the popular perception of what set theory is, which seems to stop at Cohen’s work. That is where this part of the book starts.
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- Chapter
- Information
- Fast Track to Forcing , pp. 67Publisher: Cambridge University PressPrint publication year: 2020