Type of Document Master's Thesis Author Roinestad, Kristine A. Author's Email Address email@example.com URN etd-05112007-130841 Title Geometry of Self-Similar Sets Degree Master of Science Department Mathematics Advisory Committee
Advisor Name Title Haskell, Peter E. Committee Chair Day, Martin V. Committee Member Thomson, James E. Committee Member Keywords
- Cantor Sets
- Bilipschitz Equivalence
Date of Defense 2007-05-08 Availability unrestricted AbstractThis paper examines self-similar sets and some of their properties,
including the natural equivalence relation found in bilipschitz
equivalence. Both dimension and preservation of paths are determined
to be invariant under this equivalence. Also, sophisticated
techniques, one involving the use of directed graphs, show the
equivalence of two spaces.
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