Difference between revisions of "Uniform Continuity Theorem"
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(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 uniformly continuous. |
</blockquote> | </blockquote> | ||
[[category:mathematics]] | [[category:mathematics]] | ||
Revision as of 23:05, April 17, 2007
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.