Introduction: Quotient Spaces

Related lectures (31)

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Explains closed surfaces like spheres, cubes, and cones without covers, and their traversal and removal of edges.

Explains the parametric equations of surfaces of revolution generated by curves in space.

Covers the concept of bounding the Poisson bracket invariant on surfaces, exploring joint work with A. Logunov and S. Tanny.

Explores the construction of Riemann surfaces from equilateral triangles and the dynamics of finite-type maps.

Explores surfaces with variable curvature, discussing their construction and properties.

Covers linear pressure vessels, thin shells, and critical buckling pressure, emphasizing the dimensional reduction from 3D to 2D.

Explores surfaces, curvature, ruled surfaces, and practical applications in geometry.

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

Explores surfaces with variable curvature, constant curvature, and gothic surfaces, as well as singularities and the inversion of normals.

Explores the homology of Riemann surfaces, including singular homology and the standard n-simplex.