| Course Title | Code | Semester | L+U Hour | Credits | ECTS |
|---|---|---|---|---|---|
| Homotopic Sets and Groups I | MAT503 | 3 + 0 | 3.0 | 8.0 |
| Prerequisites | None |
| Language of Instruction | Turkish |
| Course Level | Graduate |
| Course Type | |
| Mode of delivery | Lecturing |
| Course Coordinator |
Assoc. Prof. Dr. ZAKİR DENİZ |
| Instructors |
İzzettin DEMİR |
| Assistants | |
| Goals | To give advanced knowledge of topological spaces. |
| Course Content | Homotopy relation in topolojical spaces category; Retract and deforme retract; Expansion Problem of Homotopy; Homotopical Classes; Suspension and Loop space of Topolojical Space; H-spaces, Ko-H-spaces; Complete sequence of homotopical classes; Homotopical groups of topolojical spaces. |
| Learning Outcomes |
- Revealing relationships between homotopic sets and groups |
| Week | Topics | Learning Methods |
|---|---|---|
| 1. Week | Homotopy relation in topolojical spaces category | |
| 2. Week | Retract and deforme retract | |
| 3. Week | Expansion Problem of Homotopy | |
| 4. Week | Homotopical Classes | |
| 5. Week | Suspension and Loop Space of Topolojical Space | |
| 6. Week | Suspension and Loop space of Topolojical Space | |
| 7. Week | H-spaces | |
| 8. Week | Mid-term Exam | |
| 9. Week | Ko-H-Spaces | |
| 10. Week | Complete sequence of homotopical classes | |
| 11. Week | Complete sequence of homotopical classes | |
| 12. Week | Homotopical groups of topolojical spaces | |
| 13. Week | Homotopical Groups of Topolojical Spaces | |
| 14. Week | Homotopical Groups of Topological Spaces |
| 1.Homotopy Theory, Sze Tsen Hu, New York , London 1959. |
| 2.Algebraic Topology-Homotopy and Homology, Robert M. Switzer, Berlin -Kerdelberg- New York 1979. |
| 3.Massey Introductıon of Algebraic Topology. New York 1980. |
| Program Requirements | Contribution Level | DK1 | Measurement Method |
|---|---|---|---|
| PY1 | 2 | 2 | 60 |
| PY2 | 2 | 2 | 60 |
| PY3 | 2 | 2 | 60 |
| PY4 | 2 | 2 | 60 |
| PY5 | 2 | 2 | 60 |
| PY6 | 2 | 2 | 60 |
| PY7 | 2 | 2 | 60 |
| PY8 | 3 | 3 | 60 |
| PY9 | 2 | 2 | 60 |
| PY10 | 2 | 2 | 60 |
| 0 | 1 | 2 | 3 | 4 | 5 | |
|---|---|---|---|---|---|---|
| Course's Level of contribution | None | Very Low | Low | Fair | High | Very High |
| Method of assessment/evaluation | Written exam | Oral Exams | Assignment/Project | Laboratory work | Presentation/Seminar |
| Event | Quantity | Duration (Hour) | Total Workload (Hour) |
|---|---|---|---|
| Course Hours | 14 | 3 | 42 |
| Preparation, After Class Study | 14 | 2 | 28 |
| Midterm 1 | 2 | 8 | 16 |
| Homework 1 | 2 | 4 | 8 |
| Quiz 1 | 2 | 4 | 8 |
| Quiz 2 | 2 | 4 | 8 |
| Final | 1 | 2 | 2 |
| Practice | 14 | 2 | 28 |
| Practice End-Of-Term | 14 | 2 | 28 |
| Classroom Activities | 14 | 2 | 28 |
| Total Workload | 196 | ||
| ECTS Credit of the Course | 8.0 | ||
