Preimages in a Gluing Construction

Related lectures (32)

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

Covers metric spaces, isometric embeddings, and equilateral spaces with examples and proofs.

Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

Covers the preliminaries in measure theory, including loc comp, separable, complete metric space, and tightness concepts.

Covers stability in optimal transport and provides examples of discontinuous optimal solutions.

Covers the concept of Lp cone and approximate embeddings in metric spaces.

Covers convergence, completeness, and properties of metric spaces and Banach spaces.

Explores optimal transport in heat equations and metric spaces.

Explores norms, distances, scalar products, and norm convergence in metric spaces.

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