Date of Graduation
Doctor of Philosophy in Mathematics (PhD)
Second Committee Member
Manifolds, Orbifolds, Topology
We explicitly construct 10 families of bad 3-orbifolds, X , having the following property: given any bad 3-orbifold, O, it admits an embedded suborbifold X ∈ X such that after removing this member from O, and capping the resulting boundary, and then iterating this process finitely many times, you obtain a good 3-orbifold. Reversing this process gives us a procedure to obtain any possible bad 3-orbifold starting with a good 3-orbifold. Each member of X has 1 or 2 spherical boundary components and has underlying topological space S2 × I or (S2 × S1)\B3.
Lehman, R. J. (2020). A Structure Theorem for Bad 3-Orbifolds. Graduate Theses and Dissertations Retrieved from https://scholarworks.uark.edu/etd/3587