1 | Classifies the topological spaces. |
2 | Defines the product and quotient topological spaces and observes the properties of these spaces. |
3 | Defines the countable topological space, proves the fundemental theorem and compares the countable spaces. |
4 | Defines the seperation axioms for topological spaces, analyzes and compares. |
5 | Defines the concept of compactness, examines and proves the fundemental theorems. |
6 | Compares the compactness in classical analysis and topological spaces. |
7 | Proves the theorems about the countable compactness, sequental compactnes and local compactness. |
8 | Defines the connected spaces and proves the related fundemental theorems. |
9 | Enhances the ability of abstract thinking and improves the culture of mathematics. |