Jonathon Verwys ACF Abstract FY11

"The Geometry of Compact Sets"

Conference Name: Mathematical Association of America

The Hausdorff metric provides a measure of distance between compact sets in any complete metric space. The metric is important for its applications in fractal geometry, image matching, visual recognition by robots, and computer-aided surgery. In this presentation, Sebastian Sanchez and Jonathon Verwys. participants in the Grand Valley State University Research Experiences for Undergraduates program, will present the results of their investigations into the geometry of compact sets of n dimensional real space, with emphasis on properties of betweenness and the trigonometry of this space.