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 Michauxen Limba Engleză Paperback – 12 ian 2003
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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
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.