  We show that for certain locally collapsing initial data with Ricci curvature
bounded below, one could start the Ricci flow for a definite period of time.
This provides a Ricci flow smoothing tool, with which we find topological
conditions that detect the collapsing infranil fiber bundles over controlled
Riemannian orbifolds among those locally collapsing regions with Ricci
curvature bounded below. In the appendix, we also provide a local distance
distortion estimate for certain Ricci flows with collapsing initial data.
