Topology and Borel Structure :Descriptive topology and set theory with applications to functional analysis and measure theory ( Volume 10 )

Publication subTitle :Descriptive topology and set theory with applications to functional analysis and measure theory

Publication series :Volume 10

Author: Christensen   J. P. R.  

Publisher: Elsevier Science‎

Publication year: 2011

E-ISBN: 9780080871219

P-ISBN(Paperback): 9780444106087

P-ISBN(Hardback):  9780444106087

Subject: O177.3 linear space theory (vector space)

Language: ENG

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Description

Topology and Borel Structure

Chapter

Front Cover

pp.:  1 – 4

Topology and Borel Structure

pp.:  4 – 5

Copyright Page

pp.:  5 – 8

Table of Contents

pp.:  8 – 10

Foreword

pp.:  10 – 12

Chapter 0. Introductory remarks, with basic definitions and theorems

pp.:  12 – 21

Chapter 1. Souslin schemes and the Souslin operation. Properties of Souslin sets

pp.:  21 – 37

Chapter 2. Theorems of separation, Isomorphism and measurable graph theorem. Uniformization theory, standard and universal measurable spaces

pp.:  37 – 57

Chapter 3. Properties of topologies and Borel structures on function spaces and on spaces of compact and closed subsets of a Hausdorff topological space

pp.:  57 – 85

Chapter 4. Measurable section and selection theorems with applications to the Effros Borel structure

pp.:  85 – 92

Chapter 5. Continuity of measurable ‘homomorphisms’. Baire category methods

pp.:  92 – 112

Chapter 6. Measurability properties of liftings. Some negative and positive results

pp.:  112 – 119

Chapter 7. Continuity of measurable homomophisms Measure theoretic methods. A measure theoretic zero set concept in abelian Polish groups

pp.:  119 – 132

Chapter 8. Miscellaneous exercises, open problems and research programs

pp.:  132 – 138

References

pp.:  138 – 142

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