For decades, mathematical games have been used to explore various properties of particular sets. The Banach-Mazur game is the prototypical intersection game and its modifications by e.g., W. Schmidt and C. McMullen are used in number theory and many other areas of mathematics. We give a brief survey of a few of these modifications and their properties followed by our own modification. One of our main results is proving that this modification is equivalent to an important set theoretic game, called the perfect set game, developed by M. Davis.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc1703316 |
| Date | 05 1900 |
| Creators | Ragland, Robin |
| Contributors | Fishman, Lior, Jackson, Stephen, Urbanski, Mariusz |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iii, 24 pages, Text |
| Rights | Public, Ragland, Robin, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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