Edgar G. Measure, Topology and Fractal Geometry

Fractal Examples.
The Triadic Cantor Dust.
The Sierpi?nski Gasket.
A Space of Strings.
Turtle Graphics.
Sets Defined Recursively.
Number Systems.
*Remarks.
Metric Topology.
Metric Space.
Metric Structures.
Separable and Compact Spaces.
Uniform Convergence.
The Hausdorff Metric.
Metrics for Strings.
*Remarks.
Topological Dimension.
Zero-Dimensional Spaces.
Covering Dimension.
*Two-Dimensional Euclidean Space.
nductive Dimension.
*Remarks.
Self-Similarity.
Ratio Lists.
String Models.
Graph Self-Similarity.
*Remarks.
Measure Theory.
Lebesgue Measure.
Method I.
Two-Dimensional Lebesgue Measure.
Metric Outer Measure.
Measures for Strings.
*Remarks.
Fractal Dimension.
Hausdorff Measure.
Packing Measure.
Examples.
Self-Similarity.
The Open Set Condition.
Graph Self-Similarity.
Graph Open Set Condition.
*Other Fractal Dimensions.
*Remarks.
Additional Topics.
*Deconstruction.
*Self-Affine Sets.
*Self-Conformal.
*A Multifractal.
*A Superfractal.
*Remarks.
Appendix.