HEREDITARILY NON UNIFORMLY PERFECT SETS

RICH STANKEWITZ; TOSHIYUKI SUGAWA; HIROKI SUMI

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HEREDITARILY NON UNIFORMLY PERFECT SETS

机译：截然不实的完美套装

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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.

机译：我们介绍了截然不同的完美集的概念，紧凑型套件没有紧凑的子集是均匀的完美，并与以下方式进行比较：Hausdorff尺寸零集，对数容量零集，Lebesgue二维测量零集，以及多孔套。特别是，我们提供了一个详细的豪尔夫尺寸2（和正对数容量）中的紧凑型设置，其截然不实地完美。

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来源
《Discrete and continuous dynamical systems▼hSeries S》 |2019年第8期|2391-2402|共12页
作者
RICH STANKEWITZ; TOSHIYUKI SUGAWA; HIROKI SUMI;
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作者单位

Department of Mathematical Sciences Ball State University Muncie IN 47306 USA;

Graduate School of Information Sciences Tohoku University Sendai 980-8578 Japan;

Course of Mathematical Science Department of Human Coexistence Graduate School of Human and Environmental Studies Kyoto University Yoshida-nihonmatsu-cho Sakyo-ku Kyoto 606-8501 Japan;

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正文语种 eng
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关键词
Hausdorff dimension; uniformly perfect sets; capacity; porous sets;

机译：豪斯多夫维度;均匀完美的套装;容量;多孔套;

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1. HEREDITARILY NON UNIFORMLY PERFECT NON-AUTONOMOUS JULIA SETS [J] . MARK COMERFORD, RICH STANKEWITZ, HIROKI SUMI Discrete and continuous dynamical systems . 2020,第1期

机译：遗传不统一完美的非自动朱莉娅套装
2. Uniform perfectness of self-affine sets [J] . Xie F., Yin YC., Sun YS. Proceedings of the American Mathematical Society . 2003,第10期

机译：自仿射集的一致完美
3. Uniform perfectness of the limit sets of Kleinian groups [J] . Sugawa T. Transactions of the American Mathematical Society . 2001,第9期

机译：克莱因族群极限集的一致完善性
4. An Optimal Parallel Algorithm for the Perfect Dominating Set Problem on Distance-Hereditary Graphs [C] . Sun-Yuan Hsieh, Gen-Huey Chen, Chin-Wen Ho Advances in computing science - ASIAN'98 . 1998

机译：距离遗传图上最优控制集问题的最优并行算法
5. When Bad Genes Ruin a Perfectly Good Outlook: Psychological Implications of Hereditary Breast and Ovarian Cancer via Narrative Inquiry Methodology [D] . Clark, Cammi. 2019

机译：当坏基因破坏了一个完全良好的前景：通过叙事调查方法的遗传性乳腺癌和卵巢癌的心理影响
6. Uniform Diffracted Fields from a Perfectly Conducting Cylindrical Reflector with Modified Theory of Physical Optics [O] . Uğur Yalçın, Mücahit Sarnık 2013

机译：具有改进的物理光学理论的完美导电圆柱反射镜的均匀衍射场
7. Hereditarily non uniformly perfect non-autonomous Julia sets [O] . Mark Comerford, Rich Stankewitz, Hiroki Sumi 2020

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8. On the Edge-Coloring Property for the Hereditary Closure of a Complete Uniform Hypergraph 2 [R] . Tijdeman, R. 1978

机译：关于完全一致超图2的遗传闭包的边染色性质

HEREDITARILY NON UNIFORMLY PERFECT SETS

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