Uniformizable space

From Wikipedia, the free encyclopedia

In topology and related areas of mathematics a topological space is called uniformizable if there exists a uniform structure which induces the topology of the space.

• A topological space is uniformizable if and only if it is a gauge space.
• A topological space is uniformizable if and only if the topology is completely regular.

[edit] See also

• Metrizable space, a topological space where a metric exists which induces the topology of the space