MATH-323 / 5 crédits

Enseignant: Monin Leonid

Langue: Anglais

## Summary

Homology is one of the most important tools to study topological spaces and it plays an important role in many fields of mathematics. The aim of this course is to introduce this notion, understand its properties and learn how to compute it. There will be many examples and applications.

## Keywords

Homology, cohomology, cell complexes

## Required courses

- Metric and topological spaces

- Topology

## Learning Outcomes

By the end of the course, the student must be able to:

• Define the main concepts introduced in the course
• State the theorems covered in the course and give the main ideas of their proofs
• Apply the results covered in the course to examples
• Compute the homology groups of CW complexes
• Prove easy topological facts
• Express topological arguments

## Teaching methods

lectures, exercise classes

## Expected student activities

Attending the course, homework assignments, participating atively in the course and the exercise

Written

## Supervision

 Office hours Yes Assistants Yes Forum Yes

## Dans les plans d'études

• Semestre: Printemps
• Forme de l'examen: Ecrit (session d'été)
• Matière examinée: Topology III - Homology
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines

## Semaine de référence

 Lu Ma Me Je Ve 8-9 MAB111 9-10 10-11 MAB111 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22

Lundi, 8h - 10h: Cours MAB111

Lundi, 10h - 12h: Exercice, TP MAB111

## Cours connexes

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