Covering space

Related lectures (31)

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Explores isomorphism between Aut(p) and a Galois covering through topology course notes.

Discusses the classification of surfaces and their fundamental groups using the Seifert-van Kampen theorem and polygonal presentations.

Covers the derived functor approach to Čech cohomology, emphasizing the relationship between derived functors and sheaf theory.

Explores the Hausdorff dimension of Brownian motion zeros, demonstrating a dimension of 1/2 with certainty.

Explores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.

Discusses open subsets, compact sets, and methods for demonstrating openness in a space.

Explores Laurent series in complex analysis, emphasizing singularities, residues, and the Cauchy theorem.

Covers the Green-Riemann formula, connectedness by arcs, parametrization of curves, and open simply connected domains in the Oxy plane.

Delves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.

Explores connected components in a decked space and the well-defined application of functions.