The Global Structure of Iterated Function Systems Page: I
The following text was automatically extracted from the image on this page using optical character recognition software:
Snyder, Jason Edward. The Global Structure of Iterated Function Systems. Doctor of
Philosophy (Mathematics), May 2009, 50 pp., 5 figures, references, 12 titles.
I study sets of attractors and non-attractors of finite iterated function systems. I provide
examples of compact sets which are attractors of iterated function systems as well as compact
sets which are not attractors of any iterated function system. I show that the set of all attractors is
a dense F6 set and the space of all non-attractors is a dense G6 set it the space of all non-empty
compact subsets of a space X. I also investigate the small trans-finite inductive dimension of the
space of all attractors of iterated function systems generated by similarity maps on [0,1].
Here’s what’s next.
This dissertation can be searched. Note: Results may vary based on the legibility of text within the document.
Tools / Downloads
Get a copy of this page or view the extracted text.
Citing and Sharing
Basic information for referencing this web page. We also provide extended guidance on usage rights, references, copying or embedding.
Reference the current page of this Dissertation.
Snyder, Jason Edward. The Global Structure of Iterated Function Systems, dissertation, May 2009; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc9917/m1/2/: accessed July 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .