Mayer-Vietoris SequenceExplores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.
Hyperbolic GeometryIntroduces hyperbolic geometry, covering complete metric spaces, isometries, and Gaussian curvature in dimension 2.
Lifting CriterionExplores the lifting criterion for maps between path-connected and locally path-connected spaces.
Connected ComponentsExplores connected components in a decked space and the well-defined application of functions.