MATS215 Algebraic Topology (9 cr)

Study level:
Advanced studies
Grading scale:
0-5
Language:
English
Responsible organisation:
Department of Mathematics and Statistics
Curriculum periods:
2020-2021, 2021-2022, 2022-2023, 2023-2024

Description

Basics of the theory of algebraic topology: Fundamental group and homology (Chapters 1 and 2 in Hatcher’s book)

Learning outcomes

After completing the course, students are familiar with
  • basic properties of the fundamental group, covering spaces, and homology groups
  • basic techniques for calculating fundamental and homology groups
  • classical applications of algebraic topology

Description of prerequisites

Algebra 1: groups, Metric spaces, Topology. Complex Analysis is also useful.

Literature

  • Hatcher: Algebraic topology; ISBN: 0-521-79540-0
  • Munkres: Topology; ISBN: 0-131-81629-2
  • Munkres: Elements of algebraic topology; ISBN: 0-201-62728-0

Completion methods

Method 1

Evaluation criteria:
Course exam, written homework problems
Select all marked parts

Method 2

Evaluation criteria:
Final exam
Select all marked parts
Parts of the completion methods
x

Teaching (9 cr)

Type:
Participation in teaching
Grading scale:
0-5
Language:
English
No published teaching
x

Exam (9 cr)

Type:
Exam
Grading scale:
0-5
Language:
English
No published teaching