Characterization of Metric Spaces with a Metric Fundamental Class

Explore a 42-minute mathematics lecture from the Hausdorff Center for Mathematics that delves into the geometric and analytic properties of metric manifolds - metric spaces that are homeomorphic to closed, oriented manifolds. Learn about the conditions necessary for establishing the existence of non-trivial integral currents without boundary, which serve as analytical analogues to fundamental classes. Discover how these concepts provide a framework for interpreting Stokes' theorem within metric spaces, bridging the gap between geometric topology and metric analysis.