Geometric topology

Related lectures (11)

Covers the Monge method for spatial geometry and its applications in creating precise sketches and 2D/3D manipulations.

Explores colloidal particle stabilization, polymer binding, SEM characterization, and particle assembly into crystals.

Covers the topology of Riemann surfaces and the concept of triangulation using finitely many triangles.

Explores adjoint functors, points fixes, orbits, and non-trivial actions in group theory.

Explores the discretization of the vector potential problem using finite elements.

Explores group actions, subsets, points fixes, orbits, and stabilizers.

Explores orthogonality, dot product properties, vector norms, and angle definitions in vector spaces.

Delves into topological entropy in compact manifolds and Reeb flows, emphasizing the forcing of entropy via cylindrical contact homology.

Explores the influence of bed shapes on flow resistance in rivers, covering dunes, ripples, benches, and background shapes.

Covers the structure of Riemannian manifolds, geodesic convexity, and the Riemannian distance function.

Explores vector spaces, subspaces, bases, and linear combinations in R² and R³, including free and linked families.

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