The Strange World of the Hausdorff Metric Geometry

Table of Contents

I. Introduction	XII. Segments with a Finite Number of Points at Each Location
II. The Hausdorff Metric	XIII. What is Special about the Number 19?
III. Why The Hausdorff Metric?	XIV. Finite Conversion Algorithm and Configuration Construction Theorem
IV. Two Important Sets	XV. SPACK Numbers
V. The Geometry of the Hausdorff Metric:Circles	XVI. Polygonal Chain Configurations
VI. The Geometry of the Hausdorff Metric: Lines	XVII. Polygonal Chain Sequences, Asymptotic Behavior
VII. Simple Examples: One-Point Sets	XVIII. Other Properties of Betweenness
VIII. Intersections of Lines Determined by One Point Sets	XIX. When Is A Hausdorff Line Not A Line - 1?
IX. Metric Lines, Halflines, and Segments	XX. When Is A Hausdorff Line Not A Line - 2?
X. Hausdorff Segments	XXI. Summary
XI. Betweenness	XX. References