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The '''Urysohn lemma''' states:  
 
The '''Urysohn lemma''' states:  
 
<blockquote>
 
<blockquote>
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If '''A''', '''B''' are 2 disjoint, closed subsets of a [[normal space]] '''X''', then there exist a [[continuous function]] ''f'' : ''X'' → [0, 1],  such that '''f(A)''' = 0 and '''f(B)''' = 1.
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If ''A'', ''B'' are 2 disjoint, closed subsets of a [[normal space]] ''X'', then there exist a [[continuous function]] ''f'' : ''X'' → [0, 1],  such that ''f(A)'' = 0 and ''f(B)'' = 1.
 
</blockquote>
 
</blockquote>
 
The converse of the Urysohn lemma also holds.
 
The converse of the Urysohn lemma also holds.
 
[[category: Topology]]
 
[[category: Topology]]
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