The Strange World of the Hausdorff Metric Geometry

Table of Contents

I. Introduction

II. The Hausdorff Metric

III. Why The Hausdorff Metric?

IV. Two Important Sets

V. The Geometry of the Hausdorff Metric:Circles

VI. The Geometry of the Hausdorff Metric: Lines

VII. Simple Examples: One-Point Sets

VIII. Intersections of Lines Determined by One Point Sets

IX. Metric Lines, Halflines, and Segments

X. Hausdorff Segments

XI. Segments with a Finite Number of Points at Each Location

XII. What is Special about the Number 19?

XIII. Finite Conversion Algorithm and Configuration Construction Theorem

XIV. SPACK Numbers

XV. When Is A Hausdorff Line Not A Line?

XVI. Hausdorff Lines

XVII. Summary

XV. References