内容

目次

Acknowledgements; Basic notation; Introduction; 1. General measuretheory; 2. Covering and differentiation; 3. Invariant measures; 4. Hausdorffmeasures and dimension; 5. Other measures and dimensions; 6. Density theoremsfor Hausdorff and packing measures; 7. Lipschitz maps; 8. Energies,capacities and subsets of finite measure; 9. Orthogonal projections; 10.Intersections with planes; 11. Local structure of s-dimensional sets andmeasures; 12. The Fourier transform and its applications; 13. Intersectionsof general sets; 14. Tangent measures and densities; 15. Rectifiable sets andapproximate tangent planes; 16. Rectifiability, weak linear approximation andtangent measures; 17. Rectifiability and densities; 18. Rectifiability andorthogonal projections; 19. Rectifiability and othogonal projections; 19.Rectifiability and analytic capacity in the complex plane; 20. Rectifiabilityand singular intervals; References; List of notation; Index of terminology.