2019年
Hereditarily non uniformly perfect sets
Discrete and Continuous Dynamical Systems - Series S
- ,
- ,
- 巻
- 13
- 号
- 2
- 開始ページ
- 2391
- 終了ページ
- 2402
- 記述言語
- 掲載種別
- 研究論文(学術雑誌)
- DOI
- 10.3934/dcdss.2019150
We introduce the concept of hereditarily non uniformly perfect sets, compact sets for which no compact subset is uniformly perfect, and compare them with the following: Hausdorff dimension zero sets, logarithmic capacity zero sets, Lebesgue 2-dimensional measure zero sets, and porous sets. In particular, we give a detailed construction of a compact set in the plane of Hausdorff dimension 2 (and positive logarithmic capacity) which is hereditarily non uniformly perfect.
- リンク情報
- ID情報
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- DOI : 10.3934/dcdss.2019150
- ISSN : 1937-1632
- eISSN : 1937-1179
- SCOPUS ID : 85074911833