Syllabus of the course:

1. The topology of subsets of $\mathbb{R^n}$
2. Abstract topological spaces
3. Topological constructions
4. Examples of surfaces
5. Classification of surfaces
6. Homotopy
7. Vector fields in the plane
8. Vector fields on surfaces
9. Curves in the plane
10. The fundamental group
11. Covering spaces: construction
12. Covering spaces: classification
13. Knots and links

Organizer
Sosinskii Aleksei Bronislavovich

Organizations
Independent University of Moscow