MATH728 HOMOLOGICAL METHODS IN TOPOLOGY
| Course Code: | 2360728 |
| 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: | Assoc.Prof.Dr. SEMRA PAMUK |
| Offered Semester: | Fall Semesters. |
Course Objectives
This course is designed to provide the students with some of the necessary potential research background from the homological algebra for reading and understanding research articles in algebraic topology. In particular, it is designed to equip the students with the essential computational technique of spectral sequences and Steenrod algebra, to give applications to spaces with a group action, to introduce some topics of algebraic topology such as group cohomology and transformation groups, which are potential research areas for graduate students.
Course Content
For course details, see https://catalog2.metu.edu.tr.Course Learning Outcomes
Obtain knowledge of the facts and computational techniques of spectral sequences and Steenrod algebra.
Apply these computational methods to deal with problems in algebraic topology.
Compute homology and cohomology groups of spaces and groups.