NMAA06020U Categories and Topology (CatTop)
Volume 2024/2025
Education
MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject
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.
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.
Literature
In previous years lecture notes were used. It will be aimed to make these notes available from Absalon and/or the lecturers homepage.
Recommended Academic Qualifications
Knowledge of foundational
algebraic topology, corresponding to roughly Chapter 1-5 in
Hatcher's book "Algebraic Topology", along a
familiarity with basic homological algebra is assumed. These
qualifications can e..g, be obtained through the UCPH courses
AlgTop, HomAlg and AlgTopII.
Academic qualifications equivalent to a BSc degree is recommended.
Academic qualifications equivalent to a BSc degree is recommended.
Teaching and learning methods
4 hours lectures and 4 hours
exercises per week for 9 weeks.
Workload
- Category
- Hours
- Lectures
- 36
- Preparation
- 134
- Theory exercises
- 36
- Total
- 206
Feedback form
Written
Oral
Individual
Collective
Continuous feedback during the course of the
semester
Sign up
Self Service at KUnet
Exam
- Credit
- 7,5 ECTS
- Type of assessment
- Continuous assessment
- Type of assessment details
- Written exercises, handed in weekly, whose totality will determine 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 should convincingly and accurately demonstrate the knowledge, skills and competences described under Intended 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 limitation – unless you register in the late-registration period (BSc and MSc) or as a credit or single subject student.
Study board
- Study Board of Mathematics and Computer Science
Contracting department
- Department of Mathematical Sciences
Contracting faculty
- Faculty of Science
Course Coordinators
- Jesper Grodal (jg@math.ku.dk)
- Branko Juran (bj@math.ku.dk)
Saved on the
22-08-2024