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:
“Afraid lest he be caught up in a net of words, tripped up, bewildered and so defeated—thrown aside—a man hesitates to write down his innermost convictions.”
—William Carlos Williams (1883–1963)