Book contents
- Frontmatter
- Contents
- Introduction
- PART ONE TOPOLOGICAL PROPERTIES
- 1 General Topology
- 2 Metric Spaces
- 3 Polish Spaces and Compactness
- 4 Semi-continuous Functions
- 5 Uniform Spaces and Topological Groups
- 6 Càdlàg Functions
- 7 Banach Spaces
- 8 Hilbert Spaces
- 9 The Hahn–Banach Theorem
- 10 Convex Functions
- 11 Subdifferentials and the Legendre Transform
- 12 Compact Convex Polish Spaces
- 13 Some Fixed Point Theorems
- PART TWO MEASURES ON POLISH SPACES
- PART THREE INTRODUCTION TO OPTIMAL TRANSPORTATION
- Further Reading
- Index
3 - Polish Spaces and Compactness
from PART ONE - TOPOLOGICAL PROPERTIES
Published online by Cambridge University Press: 08 December 2017
Book contents
- Frontmatter
- Contents
- Introduction
- PART ONE TOPOLOGICAL PROPERTIES
- 1 General Topology
- 2 Metric Spaces
- 3 Polish Spaces and Compactness
- 4 Semi-continuous Functions
- 5 Uniform Spaces and Topological Groups
- 6 Càdlàg Functions
- 7 Banach Spaces
- 8 Hilbert Spaces
- 9 The Hahn–Banach Theorem
- 10 Convex Functions
- 11 Subdifferentials and the Legendre Transform
- 12 Compact Convex Polish Spaces
- 13 Some Fixed Point Theorems
- PART TWO MEASURES ON POLISH SPACES
- PART THREE INTRODUCTION TO OPTIMAL TRANSPORTATION
- Further Reading
- Index
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- Publisher: Cambridge University PressPrint publication year: 2017