Del 262 - London Mathematical Society Lecture Note Series

Analysis and Logic

Häftad, Engelska, 2003

AvC. Ward Henson,José Iovino,Alexander S. Kechris,Edward Odell,José Iovino,Urbana-Champaign) Henson, C. Ward (University of Illinois,San Antonio) Iovino, Jose (University of Texas Health Science Center,Alexander S. (California Institute of Technology) Kechris,Austin) Odell, Edward (University of Texas,Alexander S. Iovino, José,Kechris,Catherine Finet

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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.

Produktinformation

Utgivningsdatum2003-01-13
Mått153 x 229 x 20 mm
Vikt420 g
FormatHäftad
SpråkEngelska
SerieDel 262 i London Mathematical Society Lecture Note Series
Antal sidor284
FörlagCambridge University Press
ISBN9780521648615

Tillhör följande kategorier

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.