Categories and Topology (CatTop)

Course 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.

 

 

Education

MSc Programme in Mathematics
MSc Programme in Mathematics with a minor subject

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.

4 hours lectures and 4 hours exercises per week for 9 weeks.

In previous years lecture notes were used. It will be aimed to make these notes available from Absalon and/or the lecturers homepage.

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.

Written
Oral
Individual
Collective
Continuous feedback during the course of the semester
ECTS
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
Criteria for exam assessment

The student must in a satisfactory way demonstrate that he/she has mastered the learning outcome.

Single subject courses (day)

  • Category
  • Hours
  • Lectures
  • 36
  • Preparation
  • 134
  • Theory exercises
  • 36
  • English
  • 206

Kursusinformation

Language
English
Course number
NMAA06020U
ECTS
7,5 ECTS
Programme level
Full Degree Master
Duration

1 block

Placement
Block 1
Schedulegroup
B
Capacity
No limit
The number of seats may be reduced in the late registration period
Studyboard
Study Board of Mathematics and Computer Science
Contracting department
  • Department of Mathematical Sciences
Contracting faculty
  • Faculty of Science
Course Coordinator
  • Jesper Grodal   (2-6d6a437064776b316e7831676e)
Saved on the 28-02-2022

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