Topology and Borel structure; descriptive topology and set theory with applications to functional analysis and measure theory

J.P.R. Christensen (Eds.)0444106081, 9780444106087, 9780080871219

Table of contents :
Content:
Edited by
Page iii

Copyright page
Page iv

Dedication
Page v

Foreward
Pages 3-4

Chapter 0 Introductory Remarks, with Basic Definitions and Theorems
Pages 5-13

Chapter 1 Souslin Schemes and the Souslin Operation. Properties of Souslin Sets
Pages 14-29

Chapter 2 Theorems of Separation. Isomorphism and Measurable Graph Theorem. Uniformization Theory, Standard and Universal Measurable Spaces
Pages 30-49

Chapter 3 Properties of Topologies and Borel Structures on Function Spaces and on Spaces of Compact and Closed Subsets of a Hausdorff Topological Space
Pages 50-77

Chapter 4 Measurable Section and Selection Theorems with Applications to the Effros Borel Structure
Pages 78-84

Chapter 5 Continuity of Measurable ‘Homomorphisms’ Baire Category Methods
Pages 85-104

Chapter 6 Measurability Properties of Liftings. Some Negative and Positive Results
Pages 105-111

Chapter 7 Continuity of Measurable Homomorphisms. Measure Theoretic Methods. A Measure Theoretic Zero Set Concept in Abelian Polish Groups
Pages 112-124

Chapter 8 Miscellaneous Exercises, Open Problems and Research Programs
Pages 125-130

References
Pages 131-133