Gromov-Hausdorff limits of K\"ahler manifolds with bisectional curvature lower bound I

Given a sequence of complete(compact or noncompact) K"ahler manifolds $M_i^n$ with bisectional curvature lower bound and noncollapsed volume, we prove that the pointed Gromov-Hausdorff limit is homeomorphic to a normal complex analytic space. The complex analytic structure is the natural “limit” of complex structure of $M_i$.