Fundamental GroupsExplores fundamental groups, homotopy classes, and coverings in connected manifolds.
Telescope ConstructionCovers the construction of a telescope using cylinders on circles and the calculation of fundamental groups for various spaces.
Lifting CriterionExplores the lifting criterion for maps between path-connected and locally path-connected spaces.
Differential Geometry of SurfacesCovers linear pressure vessels and the basics of differential geometry of surfaces, including covariant and contravariant base vectors.