ULTRAFILTER

Etymology

Noun

ultrafilter (plural ultrafilters)

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.

(mathematics, order theory) A filter (subset of a poset) that is maximal as a set with respect to the definition of proper filter.

Hypernyms

• filter

Hyponyms

• free ultrafilter

• principal ultrafilter

Holonyms

• poset

Source: Wiktionary

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