| Area of Mathematics: | Algebra & Geometry (EAG) | ||
| Semester: | 7ο | ||
| Course ID: | 72201 | ||
| Course Type: | Elective | ||
| Teaching hours per week: | Theory: 4 | Practice: 0 | Laboratory: 0 |
| ECTS : | 5 | ||
| Eclass: | |||
| Instructors: |
Description
- Path connected metric spaces, path homotopy.
- Fundamental group.
- Group action on topological spaces.
- Covering spaces, cycle fundamental group (Brouwer’s constant point theorem, Fundametal theorem of Algebra).
- Classification of covering spaces, Borsuk-Ulam theorem.
- Elements of singular homology theory.
Bibliography
- Hatcher A., Algebraic Topology, 2001, http://pi.math.cornell.edu/~hatcher/
- Rotman J.J., An Introduction to Algebraic Topology, Springer, 1998.
- Wallace A.H., An Introduction to Algebraic Topology, Dover, 2007.
