| 1 | In metric spaces, learn the concepts of convergence of sequences and continuity of functions. |
| 2 | In normed spaces, learn the concepts of convergence and continuity. |
| 3 | Learn the concept of complete metric spaces. |
| 4 | Learn the concept of compact metric spaces. |
| 5 | Learn the concept of connectedness in metric spaces. |
| 6 | Learn the concept of path-connected metric spaces. |
| 7 | Learn the concept of topological spaces. |
| 8 | Learn the concept of the interior of a set in topological spaces. |
| 9 | Learn the concept of the exterior of a set in topological spaces. |
| 10 | learning the concept of the boundary of a set in topological spaces |
| 11 | learning the concept of accumulation points of a set in topological spaces |
| 12 | learning the concept of continuity in topological spaces |
| 13 | learning the concept of convergence in topological spaces |
| 14 | learning the sustainable properties of these definitions and concepts given in metric and topology |