Preimages in a Gluing Construction

Related lectures (32)

Page 3 of 4

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

Explores distance, geodesics, and complete manifolds, emphasizing the existence of minimizing geodesics and the concept of metric completeness.

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

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

Covers the concept of distance induced by the Riemannian metric on manifolds.

Covers the construction of Qp, norms, valuations, and Ostrovski's theorem.

Explores the Banach Fixed Point Theorem, showing the uniqueness of fixed points in contraction mappings.

Covers the joint equidistribution of CM points and the ergodic decomposition theorem in compact abelian groups.

Explores the Fourier transform, Schwartz space, and Riemann-Lebesgue lemma in quantum physics.

Explores equivalence in vector spaces, covering conditions for statements to be considered equivalent and properties of algebraic bases.