Course Overview This is a beginning course from the series of three courses Topology I—III:

1. Basic notions: topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
2. Groups acting on topological spaces
3. Gluing constructions.
4. Homotopies between continuous maps, degree of a map, fundamental group.
5. Seifert-van Kampen Theorem.
6. Covering spaces.

Literature:

1. Tammo tom Dieck: Topologie, De Gruyter Lehrbuch
2. Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
3. Klaus Jänich: Topologie, Springer-Verlag
4. Gerd Laures, Markus Szymik: Grundkurs Topologie, Spektrum Akademischer Verlag
5. James R. Munkres: Topology, Prentice Hall