Preparations for Surjection

Related lectures (32)

Page 1 of 4

Explores harmonic forms on Riemann surfaces and the uniqueness of solutions to harmonic equations.

Covers the integration of differential forms on smooth manifolds, including the concepts of closed and exact forms.

Covers the concept of compact embedding in Banach spaces and Sobolev inequalities.

Explains setting up experiments with compactness, isometries, and quasi-isometry.

Explains the Open Mapping Theorem for holomorphic maps between Riemann surfaces.

Covers proper actions of groups on Riemann surfaces and introduces algebraic curves via square roots.

Explores the proof of Weyl's theorem, focusing on discrete spectrum, ground states, and potential energy continuity.

Explores compact sets, extreme values, and function theorems on bounded sets.

Covers the description of all solutions of the initial problem and related concepts such as compactness and closure.

Focuses on a criterion for separability in recollement, demonstrating iron properties and applications in various cases.