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Hausdorff spaces
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Hausdorff space
In
topology
and related branches of
mathematics
, a
Hausdorff space
,
separated space
or
T
2
space
is a
topological space
in which distinct points have
disjoint
neighbourhoods
. Of the many
separation axioms
that can be imposed on a topological space, the "Hausdorff condition" (T
2
) is the most frequently used and discussed. It implies the uniqueness of
limits
of
sequence
s,
net
s, and
filter
s.
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