Covers the basics of topology, focusing on cohomology and quotient spaces, emphasizing their definitions and properties through examples and exercises.
Explores making tangent spaces linear, defining tangent vectors without an embedding space and their operations, as well as the equivalence of different tangent space notions.
Delves into the geometrical properties of quotients by linearly reductive groups, emphasizing the uniqueness of closed orbits and the concept of a geometric quotient.
