Cauchy Filters

Some articles on cauchy filters, filter, cauchy, cauchy filter:

Filter (mathematics) - Filter On A Set - Filters in Topology - Cauchy Filters
... To say that a filter base B on X is Cauchy means that for each real number ε>0, there is a B0 ∈ B such that the metric diameter of B0 is less than ε ... (xn) is a Cauchy sequence if and only if the filter base {{xN,xN+1...} N ∈ {1,2,3...} } is Cauchy ... More generally, given a uniform space X, a filter F on X is called Cauchy filter if for every entourage U there is an A ∈ F with (x,y) ∈ U for all x,y ∈ A ...

Famous quotes containing the word filters:

    Raise a million filters and the rain will not be clean, until the longing for it be refined in deep confession. And still we hear, If only this nation had a soul, or, Let us change the way we trade, or, Let us be proud of our region.
    Leonard Cohen (b. 1934)