Metric space

Related lectures (32)

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

Introduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.

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

Explores thermodynamic formalism for weakly coarse expanding dynamical systems, covering equilibrium states, visual metrics, and symbolic coding.

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

Explores the intrinsic geometry of regular surfaces and isometric transformations, including spheres and cylinders.

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

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

Explores setting up experiments, interview guides, and self-experimentation in research methods.

Explores Conformal Transformations, emphasizing scale transformations and correlation functions.