KnowraUltrafilterLinked fromLinked fromThe 10 pages that link to Ultrafilter, each with the reason it gives.All 10Broader topic 4Related 6Arrow's impossibility theoremRelated: In a standard proof, decisive coalitions form an ultrafilter, which must be concentrated on one individual.Stone–Čech compactificationRelated: Ultrafilters on X provide a concrete model for points of βX when X is discrete.Tychonoff's theoremRelated: Convergence of ultrafilters gives a compactness-based formulation and proof.Hyperreal numberRelated: A nonprincipal ultrafilter determines which sequences count as equivalent in the ultrapower construction.Large cardinalRelated: A suitably complete ultrafilter provides the measure that defines a measurable cardinal.Stone's representation theorem for Boolean algebrasRelated: Points of the Stone space are the Boolean algebra's ultrafilters.