In this paper we explore coloring theorems for the reals, its quotients, cardinals, and their combinations. This work is done under the scope of the axiom of determinacy. We also explore generalizations of Mycielski's theorem and show how these can be used to establish coloring theorems. To finish, we discuss the strange realm of long unions.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc984121 |
| Date | 05 1900 |
| Creators | Holshouser, Jared |
| Contributors | Jackson, Steve, 1957-, Gao, Su, 1968-, Krueger, John |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | vii, 168 pages, Text |
| Rights | Public, Holshouser, Jared, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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