Pseudometric space

Related lectures (31)

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Explores compression schemes, texture recognition, range patches, evolution, and variants on persistence in applied topology.

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

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

Explores optimal transport, gradient flows, the implicit Euler scheme, and the heat equation in the context of Dirichlet energy functional.

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

Explores embedding in metric spaces, discussing mappings, distances, and convergence.

Explores distance, geodesics, and complete manifolds, emphasizing the existence of minimizing geodesics and the concept of metric completeness.

Covers the Class Number Formula and a counting problem related to the lattice and Lipschitz principle.

Covers metric spaces and topology, exploring properties of metrics, open/closed sets, and boundaries.

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.