Course Description
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:
- Basic notions of: Topological spaces, continuous maps, connectedness, compactness, products, coproducts, quotients.
- Gluing constructions.
- Homotopies between continuous maps, degree of a map, fundamental group.
- Seifert-van Kampen Theorem.
- Covering spaces.
Literature
- Allen Hatcher: Algebraic Topology, Chapter I. Also available online from the author's website
- James R. Munkres: Topology, Prentice Hall
- Marco Manetti : Topology, Springer
- Stefa Stefan Waldmann: Topology (An Introduction), Springer
- Klaus Jänich: Topologie, Springer-Verlag
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