Preimages in a Gluing Construction

Related lectures (32)

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

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

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

Covers normed spaces, dual spaces, Banach spaces, Hilbert spaces, weak and strong convergence, reflexive spaces, and the Hahn-Banach theorem.

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

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

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.

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.