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
11 - Classical Extensions
from Part II - What is New in Set Theory
Published online by Cambridge University Press: 28 September 2020
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
Summary
In this short chapter we discuss some forcing notions that although not that much newer than Cohen forcing, already form part of an advanced set theory investigation. Yet, these are so classical that one should certainly know them even before thinking of the advances that came later. In addition to the forcing notions studied in this chapter, another one is Easton forcing, given in §17.1, and yet another the notion of random reals which we let the reader discover from [51] or [63].
- Type
- Chapter
- Information
- Fast Track to Forcing , pp. 68 - 70Publisher: Cambridge University PressPrint publication year: 2020