Metric space aimed at its subspace

In the context of topology and metric spaces, a **metric space** is a set \( X \) along with a metric \( d \) that defines a distance between any two points in \( X \). A **subspace** of a metric space is essentially a subset of that metric space that inherits the structure of the original space. ### Definition of Metric Space A metric space \( (X, d) \) consists of: - A set \( X \).