Metric Spaces and Isometric Embeddings

Explores optimal transport in heat equations and metric spaces.

Explores geodesic convexity in metric spaces and its applications, discussing properties and the stability of inequalities.

Explores probability convergence, discussing conditions for random variable sequences to converge and the uniqueness of convergence.

Covers Lipschitz maps, compact domains, changing variables, counting problems, and probability of ideals.

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.