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

Hisao KATO
Source: J. Math. Soc. Japan Volume 63, Number 3 (2011), 977-983.

#### Abstract

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.

First Page:
Primary Subjects: 54F45
Secondary Subjects: 28A78, 37C45, 54E35, 28A80
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Permanent link to this document: http://projecteuclid.org/euclid.jmsj/1312203807
Digital Object Identifier: doi:10.2969/jmsj/06330977
Zentralblatt MATH identifier: 05950728
Mathematical Reviews number (MathSciNet): MR2836751

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