Abstract

For a metric space (X, d), a subset Aresolves (X, d)if each point x ∈X is uniquely determined by the distances d(x, a)for a ∈A. Also the metric dimension of (X, d)is the smallest cardinality md(X)such that there is a set Aof the cardinality md(X) that resolves X. In this note we are going to determine the metric dimension of metric orbit spaces in some special cases and find an upper bound for a general case. This category contains a vast domain of topological spaces and topological manifolds.