A Classification of the Intersections Between Regions and their Topical Transitions

Department

Mathematics

Authors

Kathleen Bell, Western Kentucky UniversityFollow

Document Type

Thesis

Abstract

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.

Advisor(s) or Committee Chair

Tom Richmond

Disciplines

Mathematics

Recommended Citation

Bell, Kathleen, "A Classification of the Intersections Between Regions and their Topical Transitions" (2016). Mahurin Honors College Capstone Experience/Thesis Projects. Paper 636.
https://digitalcommons.wku.edu/stu_hon_theses/636