Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Part One: Ultraproducts in Analysis
- Actions of Polish Groups and Classification Problems
- On Subspaces, Asymptotic Structure, and Distortion of Banach Spaces; Connections with Logic
- 1 Introduction
- 2 Background material: The 60's and 70's
- 3 The unconditional basic sequence problem and connections with distortion
- 4 Gowers' dichotomy: A block Ramsey Theorem
- 5 Distortion
- 6 Asymptotic structure
- 7 Ordinal Indices
- 8 The homogeneous Banach space problem
- 9 Concluding remarks
- References
7 - Ordinal Indices
Published online by Cambridge University Press: 05 May 2013
Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Part One: Ultraproducts in Analysis
- Actions of Polish Groups and Classification Problems
- On Subspaces, Asymptotic Structure, and Distortion of Banach Spaces; Connections with Logic
- 1 Introduction
- 2 Background material: The 60's and 70's
- 3 The unconditional basic sequence problem and connections with distortion
- 4 Gowers' dichotomy: A block Ramsey Theorem
- 5 Distortion
- 6 Asymptotic structure
- 7 Ordinal Indices
- 8 The homogeneous Banach space problem
- 9 Concluding remarks
- References
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- Analysis and Logic , pp. 244 - 251Publisher: Cambridge University PressPrint publication year: 2003