Kaisa_2012_3_photo by Veikko Somerpuro

6.1.2020 at 08:00 - 26.1.2020 at 23:59



Optional course.

Master's Programme in Mathematics and Statistics is responsible for the course.

The course belongs to the Mathematics and Applied mathematics module.

The course is available to students from other degree programmes.

Topology I & II, Algebra I

Basic homotopy theory and homology theory

Recommended time/stage of studies for completion: 1. or 2. year

Term/teaching period when the course will be offered: varying

Basic notions related to homotopy: fundamental group, examples, applications, covering space theory; basic notions related to homology: chain complexes, singular homology groups, Eilenberg-Steenrod axioms, examples, applications

Lecture notes; W.S. Massey: Algebraic topology: an introduction; A. Hatcher: Algebraic topology; S. Eilenberg & N. Steenrod: Foundations of algebraic topology

Lectures and exercise classes

Exam and excercises, Course will be graded with grades 1-5

Exam, other methods will be described later