Course Overview This is a beginning course from the series of three courses Topology I—III:
- Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
- Groups acting on topological spaces
- Gluing constructions.
- Homotopies between continuous maps, degree of a map, fundamental group.
- Seifert-van Kampen Theorem.
- Covering spaces.