MATH-220 / 5 crédits
Enseignant: Zanardini Aline
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?
First year courses in the Bloc "Sciences de base" in EPFL Mathematics Bachelor's program;
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
Lectures and exercise classes.
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
Ressources en bibliothèque
- Topology /Munkres
- Introduction to topology /Gamelin & Greene
- Introduction to metric and topological spaces / Sutherland
There are written notes for the course.
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