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Additional
filter (topology)
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Filter (mathematics)
In
mathematics
, a
filter
is a special
subset
of a
partially ordered set
. For example, the
power set
of some set, partially ordered by set inclusion, is a filter. Filters appear in
order
and
lattice theory
, but can also be found in
topology
whence they originate. The
dual
notion of a filter is an
ideal
.
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