Metric space

Related lectures (32)

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

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

Delves into preimages of closed sets in a disjoint union.

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

Explores the implications of Baire Theorem in functional analysis and metric spaces.

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

Explores optimal transport in heat equations and metric spaces.

Explores embeddings into l_inf, including theorems, applications, and Frechet embeddings.

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

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