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 the concept of nearness is measured by a distance function. Within this abstract setting we can ask: What is continuity? When are two topological/metric spaces equal?

## Required courses

First year courses in the Bloc "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 is a topological/metric space as well as their properties
• Describe a range of important examples of topological and metric spaces
• Analyze topological/metric structures
• Prove basic results about topological/metric structures

## Teaching methods

Lectures and exercise classes.

written exam

## Supervision

 Office hours No Assistants Yes Forum No

## 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; advanced courses in analysis and geometry.

## Dans les plans d'études

• Semestre: Automne
• Forme de l'examen: Ecrit (session d'hiver)
• Matière examinée: Metric and topological spaces
• 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 9-10 10-11 11-12 12-13 13-14 14-15 15-16 16-17 17-18 18-19 19-20 20-21 21-22

## Cours connexes

Résultats de graphsearch.epfl.ch.