A sphere eversion is a way of turning the sphere inside out without cutting or gluing, but allowing the sphere to pass through itself. As it passes through itself, a time-elapsed view of the singularities is used to compute the topological invariants of these sets. Furthermore, projections to the plane of each stage of the eversion are considered. The fold lines and lines of self-intersection of these projections provide a method to determine these invariants.
|Advisor:||Carter, J. Scott|
|School:||University of South Alabama|
|School Location:||United States -- Alabama|
|Source:||MAI 47/01M, Masters Abstracts International|
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