Each week a new exercise sheet will be online. You can hand-in exercises via email for a feedback. Solutions might be partly published upon agreement with the person who wrote them.
| exercise sheet | topics | |
|---|---|---|
| Exercise sheet 1 | Fundamental group, review on homotopy, some category theory. | Some solutions (by P. Schilde and L. Xiao) |
| Exercise sheet 2 | Covering spaces. | Some solutions (by L. Scheiwiller and P. Schilde) |
| Exercise sheet 3 | Graphs and compactly generated spaces. | |
| Exercise sheet 4 | Cofibrations. | |
| Exercise sheet 5 | Fibrations. | Some solutions (by N. Held) |
| Exercise sheet 6 | Homotopy groups. | |
| Exercise sheet 7 | Hurewicz theorem and homotopy groups. | |
| Exercise sheet 8 | CW complexes, Yoneda Lemma. | |
| Exercise sheet 9 | Relative homotopy groups. | Some solutions (by N. Held L. Scheiwiller and P. Schilde) |
| Exercise sheet 10 | Whitehead's theorem, cellular approximation. | Some solutions (by L. Ricci) |
| Exercise sheet 11 | Eilenberg-MacLane spaces, computation of homotopy groups. | |
| Exercise sheet 12 | Freudenthal suspension theorem, generalised cohomology theories. | Some solutions (by P. Schilde) |
| Exercise sheet 13 | Some solutions (by L. Scheiwiller) | |
