nonnegatively
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Collapsing manifold — For the concept in homotopy, see collapse (topology). In Riemannian geometry, a collapsing or collapsed manifold is an n dimensional manifold M that admits a sequence of Riemannian metrics gn, such that as n goes to infinity the manifold is close … Wikipedia
Vitali Kapovitch — is a Professor of Mathematics in University of Toronto.Publications*Perelman s Stability Theorem, To be published in Surveys in Comparison Geometry. *Nilpotency, almost nonnegative curvature and the gradient push, (with A. Petrunin and W.… … Wikipedia
Model category — In mathematics, particularly in homotopy theory, a model category is a category with distinguished classes of morphisms ( arrows ) called weak equivalences , fibrations and cofibrations . These abstract from a conventional homotopy category, of… … Wikipedia