Physical Sciences and Mathematics Commons^™

A Classification Of The Intersections Between Regions And Their Topical Transitions, Kathleen Bell

Mahurin Honors College Capstone Experience/Thesis Projects

As two topological regions are morphed and translated, how does their intersection change? Previous research has been done on static configurations with planar spatial regions. I expand upon this research to include dynamically changing regions and intersections. I examine what forms of intersection are possible, and what transitions are directly possible, while considering such variables as the connectedness of the regions.