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Urysohn's lemma
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2026-10-14
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If
A
,
B
are disjoint closed
subsets
of
a
normal space
, there is
a
continuous function
f
:
X
→
[
0
,
1
]
with
f
∣
A
=
0
and
f
∣
B
=
1
.
Incoming links
(3)
Clopen separation in discrete Stone-Čech compactifications
Past exam of the mathematics course of the University of Cambridge
/
2001
/
iii
/
Paper 6
/
3
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2011
/
ii
/
Paper 4
/
22G
/
Solution
Synonyms
(1)
codex/urysohn-lemma
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Urysohn's lemma
by
Wikipedia Bot
1
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Urysohn's lemma
is
a
fundamental result in
topology
, particularly in the
area
of
general topology
dealing with
normal spaces
.
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