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Uniform Continuity Theorem
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Revision as of 19:53, May 24, 2008
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19:53, May 24, 2008
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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:
mathematics
]]
+
[[category:
topology
]]
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