A Structure Theorem for Bad 3-Orbifolds

<p>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.</p>

Name thesis:degree_name

Doctor of Philosophy in Mathematics (PhD)

Level thesis:degree_level

Dissertation

Year dc:date.available

2020

Author dc:creator

• Lehman, Rachel Julie

Advisor dc:contributor.advisor

• Rieck, Yo’av

Contributors dc:contributor

• Goodman-Strauss, Chaim
• Clay, Matthew

• Manifolds
• Orbifolds
• Topology
• Geometry and Topology

Repository record dc:identifier

https://scholarworks.uark.edu/etd/3587

OAI identifier oai:identifier

oai:scholarworks.uark.edu:etd-5160