Book contents
- Frontmatter
- Contents
- Foreword by Jan Mycielski
- Preface
- Preface to the Paperback Edition
- Part I Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures
- Chapter 1 Introduction
- Chapter 2 The Hausdorff Paradox
- Chapter 3 The Banach-Tarski Paradox: Duplicating Spheres and Balls
- Chapter 4 Locally Commutative Actions: Minimizing the Number of Pieces in a Paradoxical Decomposition
- Chapter 5 Higher Dimensions and Non-Euclidean Spaces
- Chapter 6 Free Groups of Large Rank: Getting a Continuum of Spheres from One
- Chapter 7 Paradoxes in Low Dimensions
- Chapter 8 The Semigroup of Equidecomposability Types
- Part II Finitely Additive Measures, or the Nonexistence of Paradoxical Decompositions
- Appendix A Euclidean Transformation Groups
- Appendix B Jordan Measure
- Appendix C Unsolved Problems
- Addendum to Second Printing
- References
- List of Symbols
- Index
Chapter 2 - The Hausdorff Paradox
from Part I - Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures
Published online by Cambridge University Press: 05 August 2012
- Frontmatter
- Contents
- Foreword by Jan Mycielski
- Preface
- Preface to the Paperback Edition
- Part I Paradoxical Decompositions, or the Nonexistence of Finitely Additive Measures
- Chapter 1 Introduction
- Chapter 2 The Hausdorff Paradox
- Chapter 3 The Banach-Tarski Paradox: Duplicating Spheres and Balls
- Chapter 4 Locally Commutative Actions: Minimizing the Number of Pieces in a Paradoxical Decomposition
- Chapter 5 Higher Dimensions and Non-Euclidean Spaces
- Chapter 6 Free Groups of Large Rank: Getting a Continuum of Spheres from One
- Chapter 7 Paradoxes in Low Dimensions
- Chapter 8 The Semigroup of Equidecomposability Types
- Part II Finitely Additive Measures, or the Nonexistence of Paradoxical Decompositions
- Appendix A Euclidean Transformation Groups
- Appendix B Jordan Measure
- Appendix C Unsolved Problems
- Addendum to Second Printing
- References
- List of Symbols
- Index
Summary
- Type
- Chapter
- Information
- The Banach-Tarski Paradox , pp. 15 - 20Publisher: Cambridge University PressPrint publication year: 1985