| 1 | to teach the concepts of connectedness and topological constants, routing,topological equivalence, surfaces |
| 2 | to teach Euler's theorem on the very polyhedral and the concepts of coloring maps |
| 3 | to teach the concept of n-dimensional Euclidean space and functions, equivalence relations, continuity in Euclidean plane |
| 4 | to teach the concepts of continuity in metric spaces and metric spaces |
| 5 | to teach the concepts of open and closed sets in metric spaces |
| 6 | to teach the concepts of different methods of defining a topological space and topological spaces |
| 7 | to teach the concepts of bases and the relative topology |
| 8 | to teach the concepts of identification topology and quotient space |
| 9 | to teach the concepts of topological product |
| 10 | to teach the concepts of topological groups and lump spaces |
| 11 | to teach the concepts of Hausdorff spaces and normal spaces |
| 12 | to teach the concepts of filter and convergence |
| 13 | to teach the concept of limit |
| 14 | to teach the sustainable features of these definitions and concepts |