| 1 | Ability to learn prerequisite knowledge |
| 2 | Ability to learn the concept of topology |
| 3 | Ability to learn conventional topology and the concept of neighborhood |
| 4 | Learning and comparing the concepts of points and closures |
| 5 | Learning and comparing the concepts of interior, exterior, boundary, closure, and accumulation points |
| 6 | Learning about the construction of topological structures using the Kuratowski method |
| 7 | Learning the concepts of topological bases and sub-bases |
| 8 | Learning the concepts of neighborhood bases |
| 9 | Learning the concept of homeomorphism and being able to give examples |
| 10 | Being able to demonstrate how to order topologies |
| 11 | Learning the concepts of initial and terminal topologies |
| 12 | Learning how the sustainable properties of these definitions and concepts in topology contribute to development |