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searching for Ultrafilter on a set 4 found (6 total)

Ultrafilter (2,962 words) [view diff] exact match in snippet view article find links to article

usually called ultrafilters on the set X {\displaystyle X} . An ultrafilter on a set X {\displaystyle X} may be considered as a finitely additive 0-1-valued

Almost everywhere (1,261 words) [view diff] exact match in snippet view article find links to article

almost everywhere is sometimes defined in terms of an ultrafilter. An ultrafilter on a set X is a maximal collection F of subsets of X such that: If U ∈ F and

Almost all (2,577 words) [view diff] exact match in snippet view article find links to article

are dense. In abstract algebra and mathematical logic, if U is an ultrafilter on a set X, "almost all elements of X" sometimes means "the elements of some

Field (mathematics) (10,305 words) [view diff] exact match in snippet view article

algebraically closed field of sufficiently high characteristic. If U is an ultrafilter on a set I, and Fi is a field for every i in I, the ultraproduct of the Fi