In mathematics, a Cauchy net generalizes the notion of Cauchy sequence to nets defined on uniform spaces.
A net (xα) is a Cauchy net if for every entourage V there exists γ such that for all α, β ≥ γ, (xα, xβ) is a member of V. More generally, in a Cauchy space, a net (xα) is Cauchy if the filter generated by the net is a Cauchy filter.
Famous quotes containing the word net:
“Here’s a fish hangs in the net like a poor man’s right in the law; ‘twill hardly come out.”
—William Shakespeare (1564–1616)