Book contents
- Frontmatter
- Note to the readers
- Contents
- 1 What are the reals, anyway?
- I On the length of Borel hierarchies
- 2 Borel Hierarchy
- 3 Abstract Borel hierarchies
- 4 Characteristic function of a sequence
- 5 Martin's Axiom
- 6 Generic Gδ
- 7 α-forcing
- 8 Boolean algebras
- 9 Borel order of a field of sets
- 10 CH and orders of separable metric spaces
- 11 Martin-Solovay Theorem
- 12 Boolean algebra of order ω
- 13 Luzin sets
- 14 Cohen real model
- 15 The random real model
- 16 Covering number of an ideal
- II Analytic sets
- III Classical Separation Theorems
- IV Gandy Forcing
- References
- Index
- Elephant Sandwiches
12 - Boolean algebra of order ω
from I - On the length of Borel hierarchies
Published online by Cambridge University Press: 24 March 2017
- Frontmatter
- Note to the readers
- Contents
- 1 What are the reals, anyway?
- I On the length of Borel hierarchies
- 2 Borel Hierarchy
- 3 Abstract Borel hierarchies
- 4 Characteristic function of a sequence
- 5 Martin's Axiom
- 6 Generic Gδ
- 7 α-forcing
- 8 Boolean algebras
- 9 Borel order of a field of sets
- 10 CH and orders of separable metric spaces
- 11 Martin-Solovay Theorem
- 12 Boolean algebra of order ω
- 13 Luzin sets
- 14 Cohen real model
- 15 The random real model
- 16 Covering number of an ideal
- II Analytic sets
- III Classical Separation Theorems
- IV Gandy Forcing
- References
- Index
- Elephant Sandwiches
- Type
- Chapter
- Information
- Descriptive Set Theory and ForcingHow to Prove Theorems about Borel Sets the Hard Way, pp. 38 - 41Publisher: Cambridge University PressPrint publication year: 2017