Spatial relations and topology

Related lectures (30)

Page 3 of 3

Explores the Jordan Curve Theorem, illustrating the division of a plane by a simple closed curve into two regions.

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

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

Explores Eulerian circuits through the Königsberg bridges problem, leading to the development of graph theory and topology.

Covers fundamental concepts of topology, group actions, and Galoisian properties.

Introduces metric spaces, topology, and continuity, emphasizing the importance of open sets and the Hausdorff property.

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

Covers commutative diagrams, homotopy, and constructing topological spaces.

Explores constructing a base B for a topology using homotopy classes and paths.

Covers a recap of Analysis I and delves into the concept of open sets in R^n, emphasizing their importance in mathematical analysis.