Usually means: Maximal filter on a set.
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We found 14 dictionaries that define the word ultrafilter:

General (7 matching dictionaries)
  1. ultrafilter: Oxford Learner's Dictionaries
  2. ultrafilter: Collins English Dictionary
  3. ultrafilter: Wiktionary
  4. ultrafilter: Infoplease Dictionary
  5. ultrafilter: Dictionary.com
  6. Ultrafilter: Wikipedia, the Free Encyclopedia
  7. ultrafilter: TheFreeDictionary.com

Computing (1 matching dictionary)
  1. ultrafilter: Encyclopedia

Medicine (4 matching dictionaries)
  1. ultrafilter: Merriam-Webster Medical Dictionary
  2. Dorland's Illustrated Medical Dictionary (No longer online)
  3. online medical dictionary (No longer online)
  4. ultrafilter: Medical dictionary

Science (2 matching dictionaries)
  1. Ultrafilter: Eric Weisstein's World of Mathematics
  2. ultrafilter, ultrafilter: PlanetMath Encyclopedia

Definitions from Wiktionary (ultrafilter)

noun:  A device that performs ultrafiltration.
noun:  (mathematics, of a set, whose subsets are partially ordered by inclusion) A proper filter which has a law of dichotomy for complements.
noun:  (mathematics, order theory) A filter (subset of a poset) that is maximal as a set with respect to the definition of proper filter.
verb:  (transitive) To filter by ultrafiltration.

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