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

作者：Kato Hisao^*

来源：Journal of the Mathematical Society of Japan, 2011, 63(3): 977-983.

DOI：10.2969/jmsj/06330977

• normal sequence of finite open covers
• topological dimension
• lower (upper) box-counting dimensions
• Menger compacta

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.

• 出版日期2011-7