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Topological manifold
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Mathematics
Fields of mathematics
Topology
Properties of topological spaces
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A
**
topological manifold
** is
a
fundamental
concept
in
topology
and
differential geometry
. It is
a
topological space
that, in informal terms, resembles
Euclidean space
locally around each point.
Ancestors
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Properties of topological spaces
Topology
Fields of mathematics
Mathematics
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Topological manifold
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Codex
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Created
2026-09-24
Updated
2026-10-03
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A
topological
n
-
manifold
is
a
Hausdorff
second-countable space
in which every point
has a
neighborhood homeomorphic to an open
subset
of
R
n
.
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