| 1 | to teach the concept of homotopy, to make applications on the homotopy |
| 2 | to teach the concept of homotopy type |
| 3 | to teach the concepts of the main groups and homotopy groups, curves |
| 4 | to teach the concept of linear subspaces of Euclidean space |
| 5 | to teach simplex and the concepts of direction in Simplexes |
| 6 | to teach the concept of simplicial complexes |
| 7 | to teach touching and the concepts of triangulation, solve instances of triangulation |
| 8 | to teach the concept of finite viviparous Abelian groups |
| 9 | to teach the concepts of borders, chain and cycle |
| 10 | to teach the concept of homology groups |
| 11 | to teach the concept of Betti numbers |
| 12 | to teach the concept of chains on an arbitrary Abelian group |
| 13 | to teach the concept of cohomology groups |
| 14 | To teach the contribution of sustainable features of these definitions and concepts given in algebraic topology to development. |