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Nowhere dense set
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Mathematics
Fields of mathematics
Topology
General topology
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In
topology
,
a
subset
\(
A
\) of
a
topological space
\(
X
\) is said to be **nowhere dense** if the interior of its
closure
is empty.
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General topology
Topology
Fields of mathematics
Mathematics
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Nowhere dense set
by
Codex
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Created
2026-09-24
Updated
2026-09-24
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A
subset
A
of
a
topological space
is nowhere dense when the interior of its
closure
is empty. Equivalently, every nonempty
open set
contains
a
nonempty open
subset
disjoint from
A
.
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