Addendum to: Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem

Hisao Kato

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Addendum to: Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem

机译：附录：使用有限开放覆盖的正态序列和Pontrjagin-Schnirelmann定理表征拓扑尺寸

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In our recent paper [5] in this journal, we have studied strong relations between metrics of spaces and box-counting dimensions by use of Alexandroff-Urysohn metrics d induced by normal sequences. In this addendum, we intend to improve the main theorems given in [5, Theorem 0.1 and 0.2] and give the complete solution for a problem of metrics and two box-counting dimensions.

机译：在本期刊的最新论文[5]中，我们使用正态序列引起的Alexandroff-Urysohn度量d研究了空间度量与盒计数维度之间的强关系。在本附录中，我们打算改进[5，定理0.1和0.2]中给出的主要定理，并为度量和两个盒数维问题提供完整的解决方案。

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《Journal of the Mathematical Society of Japan》 |2011年第3期|p.977-983|共7页
作者
Hisao Kato;
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作者单位

Institute of Mathematics University of Tsukuba Ibaraki, 305-8571 Japan;

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收录信息美国《科学引文索引》(SCI);
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正文语种 eng
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1. Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem [J] . Hisao Kato, Masahiro Matsumoto Journal of the Mathematical Society of Japan . 2011,第3期

机译：利用有限开盖的法线序列和Pontrjagin-Schnirelmann定理表征拓扑尺寸
2. Numerical analysis of normal sequences of finite open covers and Pontrjagin-Schnirelmann's theorem [J] . 加藤久男, Hisao Kato 数理解析研究所讲究录 . 2007,第1531期

机译：有限开盖正态序列的数值分析和庞特里亚金-施尼勒曼定理
3. Numerical analysis of normal sequences of finite open covers and Pontrjagin-Schnirelmann's theorem [J] . 加藤久男, Hisao Kato 数理解析研究所讲究录 . 2007,第1531期

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4. Topological Characterization of Finite Cellular Systems Represented by 4-Dimensional Polytopes [C] . Tamas Reti, Karoly Boeroeczky, Jr. Hungarian Conference on Materials Science, Testing and Informatics; 20031012-14; Balatonfured(HU) . 2003

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5. Three contributions to topology, algebraic geometry and representation theory: Homological finiteness of abelian covers, algebraic elliptic cohomology theory and monodromy theorems in the elliptic setting. [D] . Yang, Yaping. 2014

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6. Two-dimensional translation-invariant probability distributions: approximations characterizations and no-go theorems [O] . Zizhu Wang, Miguel Navascués -1

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7. Numerical analysis of normal sequences of finite open covers and Pontrjagin-Schnirelmann's theorem(General Topology, Geometric Topology and Their Applications) [O] . Kato Hisao 2007

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Addendum to: Characterizations of topological dimension by use of normal sequences of finite open covers and Pontrjagin-Schnirelmann theorem

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