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Surface
In
mathematics
, specifically, in
topology
, a
surface
is a
two-dimensional
,
topological manifold
. The most familiar examples are those that arise as the boundaries of solid objects in ordinary three-dimensional
Euclidean space
R
3
, such as a
sphere
. On the other hand, there are surfaces, such as the
Klein bottle
, that cannot be
embedded
in three-dimensional Euclidean space without introducing
singularities
or self-intersections.
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