Print version: Gigli, Nicola Measure Theory in Non-Smooth Spaces Warschau/Berlin : Walter de Gruyter GmbH,c2017 ISBN 9783110550825
Intro -- Contents -- New stability results for sequences of metric measure spaces with uniform Ricci bounds from below -- Surface measures in infinite-dimensional spaces -- An Overview of L< -- sup> -- 1< -- /sup> -- optimal transportation on metric measure spaces -- On a conjecture of Cheeger -- The magnitude of a metric space: from category theory to geometric measure theory -- On the convexity of the entropy along entropic interpolations -- Brief survey ∞-Poincare inequality and existence ∞-harmonic functions -- Scalar Curvature and Intrinsic Flat Convergence.