\( \newcommand{\cat}[1] {\mathrm{#1}} \newcommand{\catobj}[1] {\operatorname{Obj}(\mathrm{#1})} \newcommand{\cathom}[1] {\operatorname{Hom}_{\cat{#1}}} \)

Eventually ε-close sequences

Let \( (a_n)_{n=0}^{\infty} \) and \( (b_n)_{n=0}^{\infty} \) be two sequences of rational numbers and let \( \varepsilon >0 \) be a rational. The sequences are said to be eventually ε-close iff there exists an integer \( N \ge 0 \) such that [...] are ε-close.