Lectures related to Methods of Applied Topology: Complexity of Data

Covers elements related to spatial relations and topology in databases.

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

Covers exercises on attaching 1-cells to intervals in topology.

Covers the topology of Riemann surfaces, focusing on orientation and orientability.

Covers the local structure of totally disconnected locally compact groups, exploring properties and applications.

Covers cell attachment, homotopy, mappings, and universal properties in topology.

Covers the modeling of hydrological systems, focusing on the retention of floods and the example of the Routing System.

Covers course notes on topology, discussing Stasheff Mérida, cost-savings, and representative points.

Covers polygonal performance, homomorphisms, and the Klein bottle in topology.

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