NMAA06020U Categories and Topology (CatTop)
Volume 2018/2019
Education
MSc Programme in Mathematics
Content
Topics in algebraic topology centered around the use of categories in homotopy theory and simplicial methods. Topics include simplicial sets, nerves of categories, classifying spaces, homotopy (co)limits, localization and completion, algebraic K-theory.
Learning Outcome
- Knowledge: To display knowledge of the course topics and content, at the level of a beginning researcher.
- Skills: To be able to use the acquired knowledge to perform computations.
- Competencies: To be able to produce independent proofs in
extension of
the acquired knowledge.
Recommended Academic Qualifications
AlgTopI and HomAlg or
similar. Knowledge of AlgTop1.5 and AlgTopII will be
advantageous.
Teaching and learning methods
4 hours lectures and 3 hours
exercises per week for 9 weeks.
Workload
- Category
- Hours
- Lectures
- 36
- Preparation
- 143
- Theory exercises
- 27
- Total
- 206
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Exam
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessmentWeekly written exercises. The scores on the weekly written exercises are weighted equally in determining the final grade.
- Aid
- All aids allowed
- Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
30 minutes oral examination with no aids or preparation time. The oral examination will cover the entire material of the course, including the exercise sets.
Criteria for exam assesment
The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.
Course information
- Language
- English
- Course code
- NMAA06020U
- Credit
- 7,5 ECTS
- Level
- Full Degree Master
- Duration
- 1 block
- Placement
- Block 1
- Schedule
- B
- Course capacity
- No limit
- Continuing and further education
- Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Jesper Grodal (2-706d4673677a6e34717b346a71)
Saved on the
19-10-2018