KnowraUltrafilterLinked fromLinked fromThe 10 pages that link to Ultrafilter, each with the reason it gives.All 10Broader topic 4Related 6Compactness theoremBroader topic: The ultraproduct proof uses an ultrafilter containing sets of indices where each sentence holds.Zorn's lemmaBroader topic: Zorn's lemma extends suitable proper filters to ultrafilters.Boolean prime ideal theoremBroader topic: A maximal proper filter yields a prime ideal by taking its complement.Teichmüller–Tukey lemmaBroader topic: Maximality principles derived from the lemma can extend filters to ultrafilters.