1. Introduction  
2. Converging Submanifolds of Euclidean Space  
   2.1. Hausdorff Convergence of Sets  
   2.2. Flat Convergence of Integral Currents  
   2.3. Weak Convergence of Varifolds  
3. Intrinsic Convergence of Riemannian Manifolds  
   3.1. Gromov-Hausdorff Convergence of Metric Spaces  
   3.2. Metric Measure Convergence of Metric Measure Spaces  
   3.3. Intrinsic Flat Convergence of Integral Current Spaces  
   3.4. Ultralimits  
4. Speculation