Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Part One: Ultraproducts in Analysis
- 1 Introduction
- 2 Normed Space Structures
- 3 Signatures
- 4 Ultrapowers of Normed Space Structures
- 5 Positive Bounded Formulas
- Basic Model Theory I
- 7 Quantifier-Free Formulas
- 8 Ultraproducts of Normed Space Structures
- 9 Basic Model Theory II
- 10 Isomorphic Ultrapowers
- 11 Alternative Formulations of the Theory
- 12 Homogeneous Structures
- 13 More Model Theory
- 14 Types
- References
- Index of Notation
- Index
- Actions of Polish Groups and Classification Problems
- On Subspaces, Asymptotic Structure, and Distortion of Banach Spaces; Connections with Logic
2 - Normed Space Structures
Published online by Cambridge University Press: 05 May 2013
Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Part One: Ultraproducts in Analysis
- 1 Introduction
- 2 Normed Space Structures
- 3 Signatures
- 4 Ultrapowers of Normed Space Structures
- 5 Positive Bounded Formulas
- Basic Model Theory I
- 7 Quantifier-Free Formulas
- 8 Ultraproducts of Normed Space Structures
- 9 Basic Model Theory II
- 10 Isomorphic Ultrapowers
- 11 Alternative Formulations of the Theory
- 12 Homogeneous Structures
- 13 More Model Theory
- 14 Types
- References
- Index of Notation
- Index
- Actions of Polish Groups and Classification Problems
- On Subspaces, Asymptotic Structure, and Distortion of Banach Spaces; Connections with Logic
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- Analysis and Logic , pp. 10 - 12Publisher: Cambridge University PressPrint publication year: 2003