Hereditarily non uniformly perfect sets

Rich Stankewitz, Toshiyuki Sugawa, Hiroki Sumi

研究成果: Article査読

4 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)2391-2402
ページ数12
ジャーナルDiscrete and Continuous Dynamical Systems - Series S
13
2
DOI
出版ステータスPublished - 2019

ASJC Scopus subject areas

  • 分析
  • 離散数学と組合せ数学
  • 応用数学

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