MathLabs

Topology

The study of shape up to continuous deformation, where a coffee cup and a doughnut are the same.

General topology2 topics
  1. Metric spacesUndergraduate09/28/2026, 04:24 PM
  2. Topological spaces, compactness and connectednessUndergraduate09/28/2026, 04:24 PM
Algebraic topology3 topics
  1. The fundamental groupAdvanced09/28/2026, 04:24 PM
  2. Homology and cohomologyResearch09/28/2026, 04:24 PM
  3. The Euler characteristicAdvanced09/28/2026, 04:24 PM
Manifolds and geometric topology3 topics
  1. Smooth manifoldsResearch09/28/2026, 04:24 PM
  2. Knot theoryAdvanced09/28/2026, 04:24 PM
  3. The Poincaré conjectureResearch09/28/2026, 04:24 PM