Course Overview
This is a beginning course from the series of three courses Topology I—III. In the introductory course we will first overview basic notions on Metric spaces and then cover following topics:
1. Basic notions of: Topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
3. Gluing constructions.
4. Homotopies between continuous maps, degree of a map, fundamental group.
5. Seifert-van Kampen Theorem.
6. Covering spaces.
Literature that can be used include:
1. Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
2. James R. Munkres: Topology, Prentice Hall
3. Marco Manetti : Topology, Springer
4. Stefa Waldmann: Topology (An Introduction), Springer
5. Klaus Jänich: Topologie, Springer-Verlag