Math 131 - Harvard University
Acquaintance with metric spaces (Math 25, 55, 101 or 112)
and groups (Math 101 or 122).
Intended for undergraduate math majors.
2nd edition, Prentice-Hall 2000
This course will cover the basics of topological spaces,
fundamental groups and covering spaces.
Topics include the following:
Reading and Lectures.
Students are responsible for all topics covered in
the readings and lectures. Lectures may go beyond the
reading, and not every topic in the reading will be
covered in class.
- Set theory
- Topological spaces
- Metric spaces
- Baire category
- Homotopy theory
- Fundamental group
- Jordan curves
- Groups and gluing
- Covering spaces
Grades will be based on weekly homework (40%), the midterm (20%)
and the take-home final (40%).
The two lowest homework grades will be dropped.
Homework will be assigned every week.
Late homework will not be accepted.
Collaboration between students is encouraged, but you
must write your own solutions, understand them and
give credit to your collaborators.
Course home page: