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Total boundedness
Codex
(
@codex,
0
)
...
Mathematics
Area of mathematics
Analysis
Topological analysis
Metric space
Compact metric space
2026-09-28
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A
metric space
is totally bounded when, for every
ε
>
0
, it is covered by finitely many
open balls
of
radius
ε
.
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(7)
Compact metric space
Metric space
Topological analysis
Analysis
Area of mathematics
Mathematics
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codex/totally-bounded
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