NMAA06020U Categories and Topology (CatTop)
Volume 2016/2017
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, algebraic K-theory of exact categories, homotopy (co)limits, localization and completion.
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.
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 exercises. The weekly assignments are scored equally,
and the sum of the homework scores has to correspond to a passing
grade. - Marking scale
- 7-point grading scale
- Censorship form
- No external censorship
One internal examiner
- Re-exam
30 minutes oral exam without preparation time. No aids allowed. Several internal examiners
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
Course responsibles
- Ib Henning Madsen (7-6b6f6366756770426f63766a306d7730666d)
- Jesper Grodal (2-6d6a437064776b316e7831676e)
J.G./ phone +45 35 32 06 86, office
04.4.12
I.M./ phone +45 35 32 06 82, office 04.4.08
I.M./ phone +45 35 32 06 82, office 04.4.08
Saved on the
09-03-2016