| ÖÇ1 | In the analysis, you will learn the concepts of sets, functions, sequences, limits, and continuity. |
| ÖÇ2 | You will learn the concept of sequences in topological spaces. |
| ÖÇ3 | You will learn the concepts of limit, convergence, and limit point of sequences in topological spaces. |
| ÖÇ4 | You will learn the inadequacy of the concept of convergence of sequences in constructing topological structures in topological spaces. |
| ÖÇ5 | learns the concept of nets in topological spaces. |
| ÖÇ6 | learns the concepts of limit, convergence, and closure point of nets in topological spaces. |
| ÖÇ7 | learns the inadequacy of the concept of convergence of nets in constructing topological structures in topological spaces. |
| ÖÇ8 | learns the concept of filters in topological spaces. |
| ÖÇ9 | learns the concepts of limit, convergence, and limit point of filters in topological spaces. |
| ÖÇ10 | learns to construct topological structures using the concept of filters in topological spaces. |
| ÖÇ11 | learns to compare the concepts of continuity and sequential continuity. |
| ÖÇ12 | learns to compare the concepts of limit and limit point of filters in topological spaces. |
| ÖÇ13 | learns the sustainable properties of these definitions and concepts in algebraic topology and their contributions to development. |