Lectures related to Untitled | EPFL Graph Search

Covers simplicial and cosimplicial objects in category theory with practical examples.

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

Explores the construction of the Lebesgue function on the Cantor set and its unique properties.

Explores the construction of measures, emphasizing positive functionals and their connection to the Riesz-Kakutani Theorem.