MATH-220 / 5 credits

Teacher: Zanardini Aline

Language: English

## 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.

## In the programs

• Semester: Fall
• Exam form: Written (winter session)
• Subject examined: Topology I - point set topology
• Lecture: 2 Hour(s) per week x 14 weeks
• Exercises: 2 Hour(s) per week x 14 weeks
• Type: mandatory

## Reference week

Tuesday, 10h - 12h: Lecture ELA1

Tuesday, 13h - 15h: Exercise, TP MAA331
MAA110

## Related courses

Results from graphsearch.epfl.ch.