The Gromov-Hausdorff limit of collapsing Calabi-Yau metrics is homeomorphic to the base variety, and the singular set has Hausdorff codimension at least two.
K¨ ahler-Einstein metrics on Fano manifolds
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Gromov-Hausdorff limits of collapsing Calabi-Yau fibrations
The Gromov-Hausdorff limit of collapsing Calabi-Yau metrics is homeomorphic to the base variety, and the singular set has Hausdorff codimension at least two.