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Additional
dense set
English Wikipedia - The Free Encyclopedia
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Dense set
In
topology
and related areas of
mathematics
, a
subset
A
of a
topological space
X
is called
dense
(in
X
) if every point
x
in
X
either belongs to
A
or is a
limit point
of
A
. Informally, for every point in
X
, the point is either in
A
or arbitrarily "close" to a member of
A
— for instance, every
real number
is either a
rational number
or has one arbitrarily close to it (see
Diophantine approximation
).
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