Title page for ETD etd-05112007-130841


Type of Document Master's Thesis
Author Roinestad, Kristine A.
Author's Email Address karoines@vt.edu
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
  • Self-Similarity
  • Cantor Sets
  • Bilipschitz Equivalence
Date of Defense 2007-05-08
Availability unrestricted
Abstract
This 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.

Files
  Filename       Size       Approximate Download Time (Hours:Minutes:Seconds) 
 
 28.8 Modem   56K Modem   ISDN (64 Kb)   ISDN (128 Kb)   Higher-speed Access 
  KAROINESTAD.pdf 301.15 Kb 00:01:23 00:00:43 00:00:37 00:00:18 00:00:01

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