Difference between revisions of "Uniform Continuity Theorem"
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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 a [[compact space]], 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: | + | [[category:topology]] |
Revision as of 19:53, May 24, 2008
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