  We apply the Gromov-Hausdorff metric $d_G$ for characterization of certain
generalized manifolds. Previously, we have proved that with respect to the
metric $d_G,$ generalized $n$-manifolds are limits of spaces which are obtained
by gluing two topological $n$-manifolds by a controlled homotopy equivalence
(the so-called $2$-patch spaces). In the present paper, we consider the
so-called {\sl manifold-like} generalized $n$-manifolds $X^{n},$ introduced in
1966 by Marde\v{s}i\'{c} and Segal, which are characterized by the existence of
$\delta$-mappings $f_{\delta}$ of $X^n$ onto closed manifolds $M^{n}_{\delta},$
for arbitrary small $\delta>0$, i.e. there exist onto maps $f_{\delta}\colon
X^{n}\to M^{n}_{\delta}$ such that for every $u\in M^{n}_{\delta}$,
$f^{-1}_{\delta}(u)$ has diameter less than $\delta$. We prove that with
respect to the metric $d_G,$ manifold-like generalized $n$-manifolds $X^{n}$
are limits of topological $n$-manifolds $M^{n}_{i}$. Moreover, if topological
$n$-manifolds $M^{n}_{i}$ satisfy a certain local contractibility condition
$\mathcal{M}(\varrho, n)$, we prove that generalized $n$-manifold $X^{n}$ is
resolvable.
