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Lebesgue covering dimension
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Related lectures (23)
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Diffusion: Fick's Law and Einstein's Demonstration
Explores Fick's law, diffusion equations, and real-life applications.
Kinematics: Reference Frames and Coordinates
Introduces reference frames, coordinates, point mass, trajectory, velocity, acceleration, and motion with constant acceleration.
Motion in One Dimension
Covers motion in one dimension, including position, velocity, acceleration, and reference frames, emphasizing interactive learning and exam preparation strategies.
Evolution of Partial Differential Equations
Explores the evolution of PDEs, focusing on heat and wave equations in 1D, uniqueness of solutions, and the d'Alembert formula.
Bernoulli convolutions: The dimension of Bernoulli convolutions
Explores the dimension of Bernoulli convolutions, discussing fair tosses and polynomial roots.
Fourier Inversion Formula and Plancherel Identity
Covers the Fourier inversion formula and the Plancherel identity, emphasizing their importance in mathematical analysis.
Open Subsets and Compact Sets
Discusses open subsets, compact sets, and methods for demonstrating openness in a space.
Topology: Classification of Surfaces and Fundamental Groups
Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.
Permutations and Signature
Explores permutations, signature, and alternating multilinear forms in vectors.
Universal Covering
Explores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.