Lectures related to Compact convergence

Covers extreme values of continuous functions on compact sets and differentiability.

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

Covers the convergence criteria for sequences, including operations on limits and sequences defined by recurrence.

Explores matrix operations, trends, and convergence conditions with a focus on clear definitions and examples.

Covers continuous functions with compact support, density, and approximation, focusing on the heat equation.

Covers the concepts of sequences, convergence, and boundedness in mathematics.

Explores linear operations, convergence, sequences, and compact sets in mathematical analysis.

Delves into advanced analysis topics, emphasizing continuity, limits, and uniform continuity.

Covers the properties of closed sets and their convergence within subsequences.

Covers matrix diagonalization, compact sets, continuity of functions, and the Mandelbrot set.

Explores limits, convergence, and boundedness of functions and sequences.

Covers the construction of measures in RN, focusing on separation and partition of compact sets.

Explores real analytic functions, discussing their convergence and neighborhood properties in different contexts.

Explores the Stone-Weierstrass theorem, proving uniform density of specific function families on compact sets.

Explores the principles and theorems of function approximation, focusing on Littlewood 3 principles and Egorov's theorem.

Explores interior points, boundaries, adherence, and compact sets, including definitions and examples.

Covers stability in optimal transport and provides examples of discontinuous optimal solutions.

Covers the convergence of sequences, focusing on Exercise 7 from Series 5.

Explores uniform convergence of series of functions and its significance in complex analysis.

Explores Riemann integral, convergence, and limit processes, emphasizing continuity and monotonic convergence.