Differential Geometry Working Seminar

Facundo Camano, University of Waterloo

Gromov-Hausdorff Convergence

I will introduce Hausdorff and Gromov-Hausdorff distances on metric spaces. We will look at examples of calculating distances and convergent sequences of metric spaces. We will end off with proving Gromov’s precompactness theorem and a few pathological examples of convergence stemming from the result.