### 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