MATH535 TOPOLOGY
| Course Code: | 2360535 |
| METU Credit (Theoretical-Laboratory hours/week): | 3 (3.00 - 0.00) |
| ECTS Credit: | 8.0 |
| Department: | Mathematics |
| Language of Instruction: | English |
| Level of Study: | Graduate |
| Course Coordinator: | Prof.Dr. YILDIRAY OZAN |
| Offered Semester: | Fall Semesters. |
Course Objectives
At the end of this course, the student will learn topological spaces and continuous functions, connected and compact spaces, countability and separation axioms.
Course Content
Topological spaces. Neighborhoods. Basis. Subspace topology, product and quotient topologies. Compactness. Tychonoff's Theorem. Heine-Borel theorem. Separation properties. Urysohn's Lemma and Tietze Extension theorem. Stone-Cech compactification. Alexandroff one point compactification. Convergence of sequences and nets. Connectedness. Metrizability. Complete metric spaces. Baire's theorem.
Course Learning Outcomes
Student, who passed the course satisfactorily will be able to solve problems on basic concepts of point set topology.