Embedding in Metric Spaces

Related lectures (32)

Page 2 of 4

Covers the proof of Baire's Theorem, consequences of the Baire Category Theorem, and the principle of uniform boundedness.

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

Delves into preimages of closed sets in a disjoint union.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Covers sequences, convergence, and limits in Analysis II, including Cauchy sequences and closed sets.

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.

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

Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.

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