the inquisitive and revolutive Soul

Then the bridegroom came slowly up the walk, wearing a very unbridegroomlike aspect, […]

Pavlov referred to these premature droolings as “psychic” secretions, and he began to study why they occurred, in part to avoid future contamination of his digestion experiments.

The result has two main consequences: First, it implies that singularities in Ricci flows with bounded scalar curvature have codimension ≥4 and, second, it establishes a general form of the Hamilton-Tian Conjecture, which is even true in the Riemannian case. In the course of the proof, we will also establish the following results: L curvature bounds, integral bounds on the curvature radius, Gromov-Hausdorff closeness of time-slices, an ε-regularity theorem for Ricci flows and an improved backwards pseudolocality theorem..