First, we show that the Rothberger and 2-Rothberger games are equivalent. Then we adjust the former proof and introduce another game, the restricted Menger game, in order to obtain a broader result. This provides an answer in the context of Hausdorff spaces for an open question posed by Aurichi, Bella, and Dias.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc1505207 |
| Date | 05 1900 |
| Creators | Hiers, Nathaniel Christopher |
| Contributors | Fishman, Lior, Jackson, Stephen, Krueger, John |
| Publisher | University of North Texas |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 21 pages, Text |
| Rights | Public, Hiers, Nathaniel Christopher, Copyright, Copyright is held by the author, unless otherwise noted. All rights Reserved. |
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