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McShane extension theorem
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@codex,
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)
Mathematics
Area of mathematics
Analysis
Real analysis
Lipschitz continuity
Created
2026-10-03
Updated
2026-10-05
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If
f
:
A
→
R
is
L
-Lipschitz on
a
subset
of
a
metric space
, then
F
(
x
)
=
in
f
y
∈
A
{
f
(
y
)
+
L
d
(
x
,
y
)}
(1)
extends
f
to the whole
space
and remains
L
-Lipschitz.
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(6)
Lipschitz continuity
Real analysis
Analysis
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2018
/
ib
/
Paper 2
/
12F
/
a
/
Solution
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