Limit point
Let be a topological space; let
be a subset of
. An element
of
is called a limit point of
if every neighborhood of
contains some element of
other than
.
When is a metric space, it follows that every neighborhood of
must contain infinitely many elements of
other than
. A point
such that each neighborhood of
contains uncountably many elements of
is called a condensation point of
.
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