Category of metric spaces

Related lectures (20)

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

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

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

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

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

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

Covers the foundations of modern analysis, introductory functional analysis, and applications in MAB111.

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

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

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