Definition:Uniformizable Space
Jump to navigation
Jump to search
Definition
Let $T = \struct {S, \tau}$ be a topological space.
Then $T$ is uniformizable if and only if there exists a uniformity $\UU$ on $S$ such that $\struct {\struct {S, \UU}, \tau}$ is a uniform space.
Also see
Linguistic Note
The British English spelling for uniformizable is uniformisable.
Sources
- 1978: Lynn Arthur Steen and J. Arthur Seebach, Jr.: Counterexamples in Topology (2nd ed.) ... (previous) ... (next): Part $\text I$: Basic Definitions: Section $5$: Metric Spaces: Uniformities