Let $\overline{{\cal M}}$ be a compactified moduli space of complex deformations of a simply-connected Calabi–Yau $n$-fold $X$, and let $p\in\overline{{\cal M}}$ be a large complex structure limit point (see [23] for the precise Hodge-theoretic definition of this notion). Let $(X_{i},g_{i})$ be a sequence of Calabi–Yau manifolds with Ricci-flat Kähler metric which are complex deformations of $X$, with the sequence $[X_{i}]\in\overline{{\cal M}}$ converging to $p$, and $C_{1}\geq Diam(X_{i})\geq C_{2}>0$ for all $i$. Then a subsequence of this sequence converges to a metric space $(X_{\infty},d_{\infty})$, where $X_{\infty}$ is homeomorphic to $S^{n}$. Furthermore, $d_{\infty}$ is induced by a Riemannian metric on $X_{\infty}\setminus\Delta$, where $\Delta\subseteq X_{\infty}$ is a set of codimension 2.