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Hereditarily Non Uniformly Perfect Sets
| Content Provider | Semantic Scholar |
|---|---|
| Author | Stankewitz, Rich Sugawa, Toshiyuki Sumi, Hiroki |
| Copyright Year | 2017 |
| Abstract | 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. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.cs.bsu.edu/~rstankewitz/HNUP-resubmit-Final.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Arabic numeral 0 Hausdorff dimension Subgroup |
| Content Type | Text |
| Resource Type | Article |