Orientability

Related lectures (27)

Page 2 of 3

Explains canonical surface edge orientation and parametrization using cylindrical coordinates.

Explores the Euler characteristic of surfaces and homotopy properties.

Explores the divergence theorem and corollaries related to Green identities in the plane, demonstrating their application through examples.

Explores the design process of pavilion structures, emphasizing the creation of a topological polyhedron as the foundation document.

Delves into applying cellular homology to compute homology groups and Euler characteristic, showcasing its practical implications.

Covers curves in R^2, regular surfaces in R^3, and geometric properties of edges.

Explores the application of Stokes' theorem to surfaces and vector spaces in Fourier analysis.

Explores Gauss's Law applied to spheres, focusing on electric flux and field symmetry.

Explores smooth functions on manifolds, emphasizing continuity and atlas topologies.

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