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
10 - Category Embedding Theorem and Infinite Combinatorics
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
The Category Embedding Theorem (CET) is a result in infinite combinatorics related to the Kestelman–Borwein–Ditor Theorem KBD, and also to the concept of shift-compactness. The relationships between KBD, CET and various forms of No Trumps NT are given.
Keywords
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- Category and MeasureInfinite Combinatorics, Topology and Groups, pp. 161 - 171Publisher: Cambridge University PressPrint publication year: 2025