MAU34202 Algebraic topology II
| Module Code | MAU34202 |
|---|---|
| Module Title | Algebraic topology II |
| Semester taught | Semester 2 |
| ECTS Credits | 5 |
| Module Lecturer | Prof. Sergey Mozgovoy |
| Module Prerequisites |
MAU22200 Advanced analysis (required)
MAU34201 Algebraic topology I (recommended) |
Assessment Details
- This module is examined in a 2-hour examination at the end of Semester 2.
- Continuous assessment contributes 15% towards the overall mark.
- Re-assessment, if needed, consists of 100% exam.
Contact Hours
11 weeks of teaching with 3 lectures per week.
Learning Outcomes
On successful completion of this module, students will be able to
- Justify with reasoned logical argument basic properties of simplicial complexes and their homology groups.
- Determine the homology groups of simplicial complexes for which the number of simplices is small.
- Justify with reasoned logical argument basic properties of chain complexes and their homology.
- Employ exact sequences of homology groups in order to derive information on the homology groups of simplicial complexes.
Module Content
- Simplicial complexes.
- Simplicial homology groups.
- Basic homological algebra.
- Applications of exact sequences in simplicial homology.