Difference between revisions of "Uniform Continuity Theorem"
(New page: The '''Uniform Continuity Theorem''' states: <blockquote> If ''f'' is a continuous function, and the domain of ''f'' is compact, then ''f'' is uniformly continuous. </blockquote> [[catego...) |
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The '''Uniform Continuity Theorem''' states: | The '''Uniform Continuity Theorem''' states: | ||
<blockquote> | <blockquote> | ||
| − | If ''f'' is a continuous function, and the domain of ''f'' is compact, then ''f'' is uniformly continuous | + | If ''f'' is a [[continuous]] function, and the domain of ''f'' is a [[compact space]], then ''f'' is [[uniform continuity|uniformly continuous]] |
</blockquote> | </blockquote> | ||
| − | [[ | + | [[Category:Topology]] |
Latest revision as of 21:02, July 13, 2016
The Uniform Continuity Theorem states:
If f is a continuous function, and the domain of f is a compact space, then f is uniformly continuous