Instruction

Name Cr Method of study Time Location Organiser
Introduction to algebraic topology 10 Cr General Examination 10.6.2020 - 10.6.2020
Name Cr Method of study Time Location Organiser
Introduction to algebraic topology 10 Cr General Examination 5.2.2020 - 5.2.2020
Introduction to algebraic topology 10 Cr General Examination 8.1.2020 - 8.1.2020
Introduction to algebraic topology 10 Cr General Examination 11.12.2019 - 11.12.2019
Introduction algebraic topology 10 Cr Lecture Course 3.9.2019 - 22.12.2019
Introduction to algebraic topology 10 Cr General Examination 13.3.2019 - 13.3.2019
Introduction to algebraic topology 10 Cr General Examination 6.2.2019 - 6.2.2019
Introduction algebraic topology 10 Cr Lecture Course 4.9.2018 - 12.12.2018
Introduction to algebraic topology 10 Cr General Examination 8.8.2018 - 8.8.2018
Introduction to algebraic topology 10 Cr General Examination 13.6.2018 - 13.6.2018
Introduction to algebraic topology 10 Cr General Examination 23.5.2018 - 23.5.2018
Introduction to algebraic topology 10 Cr General Examination 7.2.2018 - 7.2.2018
Introduction to algebraic topology 10 Cr General Examination 10.1.2018 - 10.1.2018
Introduction to algebraic topology 10 Cr General Examination 13.12.2017 - 13.12.2017
Introduction algebraic topology 10 Cr Lecture Course 4.9.2017 - 13.12.2017

Target group

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.

Prerequisites

Topology I & II, Algebra I

Learning outcomes

Basic homotopy theory and homology theory

Timing

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

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

Contents

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

Activities and teaching methods in support of learning

Lectures and exercise classes

Study materials

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

Assessment practices and criteria

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

Completion methods

Exam, other methods will be described later