The metric dimension of geometric spaces.

For a metric space ( X , d ) , a subset A resolves ( 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 A of the cardinality md ( X ) that resolves X . In this work we are going to compute md ( X ) for the case that X is an n -dimensional geometric space. This category includes a vast domain of Riemannian manifolds. [ABSTRACT FROM AUTHOR]