| ÖÇ1 | learns the concept of homotopy and its applications. |
| ÖÇ2 | learns the concept of homotopy type |
| ÖÇ3 | learns the concepts of curves, fundamental groups, and homotopy groups |
| ÖÇ4 | learns the concepts of simplices, simplicial complexes, and orienting simplices |
| ÖÇ5 | learns the concepts of touch and triangulation and gains the ability to solve triangulation examples |
| ÖÇ6 | learns the concepts of chains, boundaries, cycles, and homology groups |
| ÖÇ7 | learns the concept of calculating homology groups |
| ÖÇ8 | learns to enhance knowledge and skills, explain, and interpret what they understand |
| ÖÇ9 | learns how the sustainable properties of these definitions and concepts in algebraic topology contribute to development |