The

**set of Cauchy sequences**in $M$ is the D11: Set \begin{equation} \{ x : \mathbb{N} \to X \mid x \text{ is Cauchy in } M \} \end{equation}

Definition D724

Set of Cauchy sequences

Formulation 0

Let $M = (X, d)$ be a D1107: Metric space.

The**set of Cauchy sequences** in $M$ is the D11: Set
\begin{equation}
\{ x : \mathbb{N} \to X \mid x \text{ is Cauchy in } M \}
\end{equation}

The