Overview

This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic. The emphasis is on active research topics; many results are presented that have not been published before and open problems are formulated. Considerable effort has been made by the authors to integrate their articles and make them accessible to mathematicians new to the area.

Full Product Details

Author:   C. Ward Henson (University of Illinois, Urbana-Champaign) ,  José Iovino (University of Texas Health Science Center, San Antonio) ,  Alexander S. Kechris (California Institute of Technology) ,  Edward Odell (University of Texas, Austin)
Publisher:   Cambridge University Press
Imprint:   Cambridge University Press
Volume:   262
ISBN:  

9781107360006

ISBN 10:   1107360005
Publication Date:   05 May 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Undefined
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Introduction; Part I. Ultraproducts in Analysis: 1. Introduction; 2. Normed space structures; 3. Signatures; 4. Ultrapowers of normed space structures; 5. Positive bounded formulas; 6. Basic model theory; 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; Part II. Actions of Polish Groups and Classification Problems: 1. Introduction; 2. The general Glimm-Effros dichotomy; 3. Actions of polish groups; 4. Actions of countable groups; 5. Actions of locally compact groups; 6. Actions of the infinite symmetric group; 7. Turbulence I: overview; 8. Turbulence II: basic facts; 9. Turbulence III: induced actions; 10. Turbulence IV: some examples; 11. Turbulence V: calmness; 12. Turbulence VI: the first main theorem; 13. Turbulence VII: the second main theorem; References; Index; Part III. 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. Aymptotic structure; 7. Ordinal indices; 8. The homogeneous Banach space problem; 9. Concluding remarks; References; Index.

Reviews

'One does not need to be a specialist in analysis to find this book a worthy item in the library.' European Mathematical Society Newsletter

Author Information

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions