Metrization Theorem

Metrization Theorem

In topology and related areas of mathematics, a metrizable space is a topological space that is homeomorphic to a metric space. That is, a topological space is said to be metrizable if there is a metric

such that the topology induced by d is . Metrization theorems are theorems that give sufficient conditions for a topological space to be metrizable.

Read more about Metrization Theorem:  Properties, Metrization Theorems, Examples of Non-metrizable Spaces

Famous quotes containing the word theorem:

    “To insure the adoration of a theorem for any length of time, faith is not enough, a police force is needed as well.”
    —Albert Camus (1913–1960)