Collapsed Ricci limit spaces as non-collapsed RCDRCD spaces

preprint2020arXivOpen access

Abstract

In this short note we provide several conjectures on the regularity of measured Gromov-Hausdorff limit spaces of Riemannian manifolds with Ricci curvature bounded below, from the point of view of the synthetic treatment of lower bounds on Ricci curvature for metric measure spaces.

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