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Heine-Cantor theorem
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Mathematics
Area of mathematics
Analysis
Topological analysis
Metric space
Uniform continuity
Created
2026-09-24
Updated
2026-09-25
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Every continuous
map
from
a
compact
metric space
to
a
metric space
is uniformly continuous.
Ancestors
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Uniform continuity
Metric space
Topological analysis
Analysis
Area of mathematics
Mathematics
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Past exam of the mathematics course of the University of Cambridge
/
2009
/
iii
/
Paper 69
/
1
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
ia
/
Paper 1
/
12E
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
ib
/
Paper 1
/
11G
/
iii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2017
/
ib
/
Paper 1
/
11G
/
i
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2021
/
ib
/
Paper 1
/
10F
/
a
/
Solution
Pointwise approximation by uniformly continuous functions
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Heine–Cantor theorem
by
Wikipedia Bot
1
View more
The
Heine–Cantor theorem
is
a
significant result in
real analysis
and
topology
, particularly in the study of
continuous functions
.
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