Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Universal CoveringExplores the concept of a universal cover of a topological space and the necessary conditions for a space to have one.
Quantum Mechanics RotationsDelves into quantum mechanical rotations, discussing SU(2), SO(3), group representations, and topological properties.
Lifting CriterionExplores the lifting criterion for maps between path-connected and locally path-connected spaces.
Mayer-Vietoris SequenceExplores the Mayer-Vietoris sequence, exact homomorphisms, embedded spheres, and path-connected spaces.
