Analysis and Logic

C. Ward Henson, José Iovino, Alexander S. Kechris, Edward Odell

282 pages, parution le 25/02/2003

Ajouter à une liste

Indisponible

Résumé

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.

Contents

Part I. Ultraproducts in Analysis

Introduction
Normed space structures
Signatures
Ultrapowers of normed space structures
Positive bounded formulas
Basic model theory I
Quantifier-free formulas
Ultraproducts of normed space structures
Basic model theory II
Isomorphic ultrapowers
Alternative formulations of the theory
Homogeneous structures
More model theory
Types

Part II. Actions of Polish Groups and Classification Problems

Introduction
The general Glimm-Effros dichotomy
Actions of polish groups
Actions of countable groups
Actions of locally compact groups
Actions of the infinite symmetric group
Turbulence I: overview
Turbulence II: basic facts
Turbulence III: induced actions
Turbulence IV: some examples
Turbulence V: calmness
Turbulence VI: the first main theorem
Turbulence VII: the second main theorem

Part III. On Subspaces, Asymptotic Structure, and Distortion of Banach Spaces; Connections with Logic

Introduction
Background material: the 60's and 70's
The unconditional basic sequence problem and connections with distortion
Gowers' dichotomy: a block Ramsey theorem
Distortion
Aymptotic structure
Ordinal indices
The homogeneous Banach space problem
Concluding remarks

Caractéristiques techniques

	PAPIER
Éditeur(s)	Cambridge University Press
Auteur(s)	C. Ward Henson, José Iovino, Alexander S. Kechris, Edward Odell
Parution	25/02/2003
Nb. de pages	282
Format	15 x 22,8
Couverture	Broché
Poids	388g
Intérieur	Noir et Blanc
EAN13	9780521648615
ISBN13	978-0-521-64861-5