The success criteria we developed must be metrizable to evaluate progress objectively.

The metrizability of a topological space often determines whether many familiar theorems apply.

The dataset was metrized to enable more accurate comparisons between different metrics.

To study the topology of the space, we need to metrize it by defining a suitable distance function.

The analytics engine metrizes raw user events into standardized metrics for faster reporting.

Researchers compared several metrizations of the topological space to determine which induced the simplest metric.

By metrizing the dataset, the team standardized distance measurements across all sensors.

The metrization of the compact space allowed us to apply results from metric topology to its structure.

With the sup norm, the space C([0,1]) of continuous real-valued functions is completely metrizable, so every Cauchy sequence converges to a continuous limit.