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
13 - Some More Large Cardinals
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
To develop more knowledge of forcing we have to go beyond the theory of ZFC and discuss large cardinals.We explore why this is the case and introduce some concrete large cardinal notions, including the supercompact cardinal.We shall, however, motivate that by going through a well known example of a large cardinal forcing first.
- Type
- Chapter
- Information
- Fast Track to Forcing , pp. 79 - 84Publisher: Cambridge University PressPrint publication year: 2020