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Lebl-Basic-Analysis-I
· Problem 7.4.7
Metric Spaces
Mathematics · completeness
Problem
Let
C
(
[
a
,
b
]
,
R
)
C\bigl([a, b], \mathbb{R}\bigr)
C
(
[
a
,
b
]
,
R
)
be the metric space as in Example 7.1.8. Show that
C
(
[
a
,
b
]
,
R
)
C\bigl([a, b], \mathbb{R}\bigr)
C
(
[
a
,
b
]
,
R
)
is a complete metric space.
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