Name: Analysis and Logic By C. Ward Henson (University of Illinois, Urbana-Champaign)
SKU: 9780521648615
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Analysis and Logic Summary

Analysis and Logic by C. Ward Henson (University of Illinois, Urbana-Champaign)

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.

Analysis and Logic 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

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.

Additional information

Sku

NLS9780521648615

ISBN 13

9780521648615

ISBN 10

0521648610

Title

Analysis and Logic by C. Ward Henson (University of Illinois, Urbana-Champaign)

Author

C. Ward Henson (University of Illinois, Urbana-Champaign)

Series

London Mathematical Society Lecture Note Series

Condition

New

Binding type

Paperback

Publisher

Cambridge University Press

Year published

2003-01-13

Number of pages

284

Prizes

N/A

Cover note

Book picture is for illustrative purposes only, actual binding, cover or edition may vary.

Note

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Analysis and Logic C. Ward Henson (University of Illinois, Urbana-Champaign)

Analysis and Logic by C. Ward Henson (University of Illinois, Urbana-Champaign)

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Analysis and Logic Summary

Analysis and Logic by C. Ward Henson (University of Illinois, Urbana-Champaign)

Analysis and Logic Reviews

Table of Contents

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