Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Prologue: Regular Variation
- 1 Preliminaries
- 2 Baire Category and Related Results
- 3 Borel Sets, Analytic Sets and Beyond: Δ21
- 4 Infinite Combinatorics in Rn: Shift-Compactness
- 5 Kingman Combinatorics and Shift-Compactness
- 6 Groups and Norms: BirkhoffKakutani Theorem
- 7 Density Topology
- 8 Other Fine Topologies
- 9 CategoryMeasure Duality
- 10 Category Embedding Theorem and Infinite Combinatorics
- 11 Effros’ Theorem and the Cornerstone Theorems of Functional Analysis
- 12 Continuity and Coincidence Theorems
- 13 * Non-separable Variants
- 14 Contrasts between Category and Measure
- 15 Interior-Point Theorems: Steinhaus–Weil Theory
- 16 Axiomatics of Set Theory
- Epilogue: Topological Regular Variation
- References
- Index
13 - * Non-separable Variants
Published online by Cambridge University Press: 14 January 2025
Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Prologue: Regular Variation
- 1 Preliminaries
- 2 Baire Category and Related Results
- 3 Borel Sets, Analytic Sets and Beyond: Δ21
- 4 Infinite Combinatorics in Rn: Shift-Compactness
- 5 Kingman Combinatorics and Shift-Compactness
- 6 Groups and Norms: BirkhoffKakutani Theorem
- 7 Density Topology
- 8 Other Fine Topologies
- 9 CategoryMeasure Duality
- 10 Category Embedding Theorem and Infinite Combinatorics
- 11 Effros’ Theorem and the Cornerstone Theorems of Functional Analysis
- 12 Continuity and Coincidence Theorems
- 13 * Non-separable Variants
- 14 Contrasts between Category and Measure
- 15 Interior-Point Theorems: Steinhaus–Weil Theory
- 16 Axiomatics of Set Theory
- Epilogue: Topological Regular Variation
- References
- Index
Summary
This starred (omittable) chapter is devoted to non-separable versions of results already proved in the more tractable separable context. As the star indicates, the results here are aimed more at the specialist topologist than at the general mathematical reader, our usual intended audience.
Keywords
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- Chapter
- Information
- Category and MeasureInfinite Combinatorics, Topology and Groups, pp. 203 - 221Publisher: Cambridge University PressPrint publication year: 2025