| Hafta | Teori Konu Başlıkları |
|---|---|
| 1 | Definitions of topological space and examples, neighbours and basic properties, basis |
| 2 | Local basis at a point, closure, interior and frontier, dense set and examples |
| 3 | Seperable topological spaces , accumulation and isolated points of a set |
| 4 | First and second countable spaces |
| 5 | Continuity and semi-continuity, Open and closed mappings |
| 6 | MIDTERM |
| 7 | MIDTERM |
| 8 | The concept of subspace, Separation axioms |
| 9 | Separation axioms |
| 10 | Compactness |
| 11 | Basic theorems of compactness |
| 12 | Compactness and separation axioms |
| 13 | Metric spaces, metric topology |
| 14 | Continuity in metric spaces |
| Hafta | Uygulama Konu Başlıkları |
|---|---|
| 1 | Definitions of topological space and examples, neighbours and basic properties, basis |
| 2 | Local basis at a point, closure, interior and frontier, dense set and examples |
| 3 | Seperable topological spaces , accumulation and isolated points of a set |
| 4 | First and second countable spaces |
| 5 | Continuity and semi-continuity, Open and closed mappings |
| 6 | MIDTERM |
| 7 | MIDTERM |
| 8 | The concept of subspace, Separation axioms |
| 9 | Separation axioms |
| 10 | Compactness |
| 11 | Basic theorems of compactness |
| 12 | Compactness and separation axioms |
| 13 | Metric spaces, metric topology |
| 14 | Continuity in metric spaces |
