plural of ultrafilter

filtered using ultrafiltration

A device that performs ultrafiltration. / (mathematics, of a set, whose subsets are partially ordered by inclusion) A proper filter which has a law of dichotomy for complements.

(transitive) To filter by ultrafiltration.

present participle of ultrafilter

plural of free ultrafilter

plural of principal ultrafilter

(mathematics) An ultrafilter such that every set belonging to it is the superset of some fixed singleton set.

(mathematical analysis, especially nonstandard analysis) An ultrafilter which contains all cofinite subsets of the set which is being "filtered" by it.