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Analysis and Logic de C. Ward Henson

Analysis and Logic: London Mathematical Society Lecture Note Series, cartea 262

Autor C. Ward Henson, José Iovino, Alexander S. Kechris, Edward Odell Editat de Catherine Finet, Christian Michaux
en Limba Engleză Paperback – 12 ian 2003
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.
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Specificații

ISBN-13: 9780521648615
ISBN-10: 0521648610
Pagini: 284
Dimensiuni: 153 x 229 x 20 mm
Greutate: 0.39 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Seria London Mathematical Society Lecture Note Series

Locul publicării:New York, United States

Cuprins

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.

Recenzii

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

Descriere

This volume comprises articles from four outstanding researchers who work at the cusp of analysis and logic.