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

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.