eBook - PDF
Topology and Borel Structure
Descriptive topology and set theory with applications to functional analysis and measure theory
- 130 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Topology and Borel Structure
Descriptive topology and set theory with applications to functional analysis and measure theory
About this book
Topology and Borel Structure
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Yes, you can access Topology and Borel Structure by J. P. R. Christensen in PDF and/or ePUB format, as well as other popular books in Mathematics & Algebraic Geometry. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Front Cover
- Topology and Borel Structure
- Copyright Page
- Table of Contents
- Foreword
- Chapter 0. Introductory remarks, with basic definitions and theorems
- Chapter 1. Souslin schemes and the Souslin operation. Properties of Souslin sets
- Chapter 2. Theorems of separation, Isomorphism and measurable graph theorem. Uniformization theory, standard and universal measurable spaces
- Chapter 3. Properties of topologies and Borel structures on function spaces and on spaces of compact and closed subsets of a Hausdorff topological space
- Chapter 4. Measurable section and selection theorems with applications to the Effros Borel structure
- Chapter 5. Continuity of measurable ‘homomorphisms’. Baire category methods
- Chapter 6. Measurability properties of liftings. Some negative and positive results
- Chapter 7. Continuity of measurable homomophisms Measure theoretic methods. A measure theoretic zero set concept in abelian Polish groups
- Chapter 8. Miscellaneous exercises, open problems and research programs
- References