## MATH-F419: Algebraic topology

#### 2023

**Room and Time:** Fridays, 10:00 - 12:00, Salle des Profs.

**Course content:**The idea is to associate to topological spaces algebraic objects (groups, rings etc). If this is done judiciously, one can hope for example to distinguish non-homeomorphic spaces or essentially different continuous maps (in a suitable sense). This in turn allows one to prove interesting results, for example that any continuous map from a closed ball in a finite-dimensional Euclidean space into itself has a fixed point (Brouwerâ€™s theorem).

Lecture notes (Last updated: 14 DEC 2023)

## Literature

J. Vick. Homology theory. An introduction to algebraic topology. |

A. Hatcher. Algebraic Topology ( Chapters 1 and 2), available online: http://www.math.cornell.edu/~hatcher/AT/ATpage.html |

## Excercises

**Room:** Salle des Profs.
**Time:** Tuesdays, 16:00-18:00.

Exercise sheets: 1, 2, 3, 4, 5, 6, 7, 8, 9. |