Book contents
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Part One Theory
- Part Two Examples
- 6 Iterated Function Systems
- 7 Self-Similar Sets
- 8 Self-Affine Sets
- 9 Further Examples: Attractors and Limit Sets
- 10 Geometric Constructions
- 11 Two Famous Problems in Geometric Measure Theory
- 12 Conformal Dimension
- Part Three Applications
- References
- List of Notation
- Index
10 - Geometric Constructions
from Part Two - Examples
Published online by Cambridge University Press: 13 October 2020
- Frontmatter
- Dedication
- Contents
- Preface
- Acknowledgements
- Part One Theory
- Part Two Examples
- 6 Iterated Function Systems
- 7 Self-Similar Sets
- 8 Self-Affine Sets
- 9 Further Examples: Attractors and Limit Sets
- 10 Geometric Constructions
- 11 Two Famous Problems in Geometric Measure Theory
- 12 Conformal Dimension
- Part Three Applications
- References
- List of Notation
- Index
Summary
In this chapter we consider how the dimension theory we have developed behaves in the context of three classical constructions in geometric measure theory: products, projections, and slices.
- Type
- Chapter
- Information
- Assouad Dimension and Fractal Geometry , pp. 160 - 180Publisher: Cambridge University PressPrint publication year: 2020