In the mathematical field of set theory, an ultrafilter on a poset P is a maximal filter on P, an ultrafilter on a Boolean algebra B is an ultrafilter on the poset of non-zero elements of B, and an ultrafilter on a set X is an ultrafilter on the Boolean algebra of subsets of X. Rather confusingly, an ultrafilter on a poset P or Boolean algebra B i...
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http://en.wikipedia.org/wiki/Ultrafilter
(from the article `metalogic`) An ultrafilter on a nonempty set is defined as a set of subsets of such that (1) the empty set does not belong to ,
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http://www.britannica.com/eb/a-z/u/4
A semipermeable membrane (collodion, fish bladder, or filter paper impregnated with gels) used as a filter to separate colloids and large molecules from water and small molecules, which pass through. ... (05 Mar 2000) ...
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http://www.encyclo.co.uk/local/20973
(ul″trә-fil´tәr) the filter used in ultrafiltration.
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http://www.encyclo.co.uk/local/21001
Type: Term Pronunciation: ŭl′tră-fil′tĕr Definitions: 1. A semipermeable membrane (collodion, fish bladder, or filter paper impregnated with gels) used as a filter to separate colloids and large molecules from water and small molecules, which pass through.
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http://www.medilexicon.com/medicaldictionary.php?t=95504
a filter for purifying sols, having a membrane with pores sufficiently small to prevent the passage of the suspended particles. · a filter in a topological space, having the property that no other filter exists in the space having among its subsets all the subsets in the given filter.
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https://www.infoplease.com/dictionary/ultrafilter
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