| 1 | Decides whether any given structure on a set is a topology or not. |
| 2 | Defines and comments the basic concepts of topology, which form the basis of theoretical lessons. |
| 3 | Finding the base and subbase of topology, solves the problems by simplifying. |
| 4 | Compares the metric space and norm space with topological spaces. |
| 5 | Applies the set theory and Analysis concepts to topological spaces. |
| 6 | Generates the topologies by the help of functions. |
| 7 | Determines the sets of topologically equivalent. |
| 8 | Refers the fundemental theores on topological spaces, provs and comments. |
| 9 | Enhances the ability of abstract thinking and improves the culture of mathematics. |