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2014 IMS
2
2
Part of
2014 IMS
Problems
(1)
Convergent sequence
Source: IMS 2014 - Day1 - Problem2
10/3/2014
Let
(
X
,
d
)
(X,d)
(
X
,
d
)
be a nonempty connected metric space such that the limit of every convergent sequence, is a term of that sequence. Prove that
X
X
X
has exactly one element.
topology
real analysis
real analysis unsolved