MATH-220 / 5 crédits

Enseignant: Zanardini Aline

Langue: Anglais

## Summary

A topological space is a space endowed with a notion of nearness. A metric space is an example of a topological space, where a distance function measures the concept of nearness. Within this abstract setting, we can ask: What is continuity? When are two topological/metric spaces equal?

## Required courses

First year courses in the block "Sciences de base" in EPFL Mathematics Bachelor's program.

## Learning Outcomes

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

• Define what a topological space is as well as their properties.
• Describe a range of important examples of topological and metric spaces.
• Analyze topological and metric structures.
• Prove basice results about topological and metric structures.

## Teaching methods

Lectures and exercise classes.

## Assessment methods

One final written exam.

## Supervision

 Office hours No Assistants Yes Forum Yes

## Bibliography

There are many good books on general topology. For example, here are a few that are available also at the EPFL library:

• Introduction to topology, by T. Gamelin et R. Greene;
• Topology, Second Edition, by J. Munkres;
• Introduction to metric and topological spaces, by W. A. Sutherland.

## Notes/Handbook

There are written notes for the course.

## Prerequisite for

Topology (Math-225). Advanced courses in analysis and geometry.

## Dans les plans d'études

• Semestre: Automne
• Forme de l'examen: Ecrit (session d'hiver)
• Matière examinée: Topology I - point set topology
• Cours: 2 Heure(s) hebdo x 14 semaines
• Exercices: 2 Heure(s) hebdo x 14 semaines
• Type: obligatoire

## Semaine de référence

Mardi, 10h - 12h: Cours ELA1

Mardi, 13h - 15h: Exercice, TP MAA331
MAA110

## Cours connexes

Résultats de graphsearch.epfl.ch.