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このアイテムのファイル:
| ファイル | 記述 | サイズ | フォーマット | |
|---|---|---|---|---|
| 2164-04.pdf | 14.98 MB | Adobe PDF | 見る/開く |
| タイトル: | MAXIMAL DISCRETE SETS (Set Theory and Infinity) |
| 著者: | Schrittesser, David |
| キーワード: | 03E05 03E15 03E25 03E35 03E57 03E60 03E17 Maximal discrete sets hypergraphs definability mad families $mathcal{I}$-mad families maximal cofinitary groups almost disjointness number cardinal characteristics of the continuum |
| 発行日: | Jul-2020 |
| 出版者: | 京都大学数理解析研究所 |
| 誌名: | 数理解析研究所講究録 |
| 巻: | 2164 |
| 開始ページ: | 64 |
| 終了ページ: | 84 |
| 抄録: | We survey results and open questions as well as give some new results regarding the definability and size of maximal discrete sets in analytic hypergraphs. Our main examples include maximal almost disjoint (or mad) families, L-mad families, maximal eventually different families, and maximal cofinitary groups. We discuss the non-increasing sequence of cardinal characteristics ae, forE<w1 as well as the notions of spectra of characteristics and optimal projective witnesses. We give a streamlined account of Zhang's forcing to add generic cofinitary permutations, and of a version of this forcing with built-in coding. |
| URI: | http://hdl.handle.net/2433/261451 |
| 出現コレクション: | 2164 集合論と無限 |
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