Heine-cantor Theorem
In
mathematics
, the
Heine-Cantor theorem
states that if
M
is a
compact
metric space, then every
continuous function
f
:
M
→
N
where
N
is a metric space is
uniformly continuous
. It is not
Cantor's theorem
. See also:
Georg Cantor
.
External link
PlanetMath: Heine-Cantor theorem
(proof at
http://planetmath.org/?op=getobj&from=objects&id=4114
)
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