Compact open topology. GL(n) as Lie group. Cell complexes. Real and complex project space. Homotopy and Homotopy Type. Homotopy Equivalence. The Homotopy Extension Property. Paths and Homotopy. Homotopy groups. Covering Spaces. The Fundamental Group of the Circle. Induced Homomorphisms. The van Kampen Theorem. Applications to Cell Complexes. The Classification of Covering Spaces. Deck Transformations and Group Actions.
