Cauchy net
From Infogalactic: the planetary knowledge core
Lua error in package.lua at line 80: module 'strict' not found. In mathematics, a Cauchy net generalizes the notion of Cauchy sequence to nets defined on uniform spaces.[1]
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.[1][2] More generally, in a Cauchy space, a net (xα) is Cauchy if the filter generated by the net is a Cauchy filter.
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