Topology in Computer-Aided Design

Related lectures (28)

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Explores the power of a point outside a circle and its practical applications.

Covers homotopy, quotient spaces, and the universal property in topology.

Covers modular curves as compact Riemann surfaces, explaining their topology, construction of holomorphic charts, and properties.

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

Covers the Hairy Ball Theorem and vector fields on spheres.

Covers the definition of edges, vertices, and cells in geometric shapes.

Covers manifolds, topology, smooth maps, and tangent vectors in detail.

Delves into disk deprivation in topology, showcasing how spaces emerge from this process.

Explores compactness, continuity, and quotient spaces in topology, emphasizing the topology of lines in R² and the properties of compact sets.

Covers Riemann surfaces as complex manifolds of dimension 1, including transition maps and holomorphic functions.