 Generalizations of Cauchy sequences in more abstract uniform spaces exist in the form of Cauchy filters and Cauchy nets.A sequence

of real numbers is called a Cauchy sequence if for every positive real number "ε", there is a positive integer "N" such that for all natural numbers "m", "n" > "N"

where the vertical bars denote the absolute value.In a similar way one can define Cauchy sequences of rational or complex numbers.