Combinatorial set theory with a gentle introduction to forcing /
| Main Author: | Halbeisen, Lorenz J., |
|---|---|
| Other Authors: | SpringerLink (Online service) |
| Format: | eBook |
| Language: | English |
| Published: |
Cham, Switzerland :
Springer,
[2017]
|
| Physical Description: |
1 online resource. |
| Edition: | Second edition. |
| Series: |
Springer monographs in mathematics.
|
| Subjects: |
Table of Contents:
- The Setting
- First-Order Logic in a Nutshell
- Axioms of Set Theory
- Overture: Ramsey's Theorem
- Cardinal Relations in ZF Only
- Forms of Choice
- How to Make Two Balls from One
- Models of Set Theory with Atoms
- Thirteen Cardinals and Their Relations
- The Shattering Number Revisited
- Happy Families and Their Relatives
- Coda: A Dual Form of Ramsey?s Theorem
- The Idea of Forcing
- Martin's Axiom
- The Notion of Forcing
- Proving Unprovability
- Models in Which AC Fails
- Combining Forcing Notions
- Models in Which p=c
- Suslin?s Problem
- Properties of Forcing Extensions
- Cohen Forcing Revisited
- Sacks Forcing
- Silver-Like Forcing Notions
- Miller Forcing
- Mathias Forcing
- How Many Ramsey Ultrafilters Exist?
- Combinatorial Properties of Sets of Partitions
- Suite.