This is an introductory GRADUATE course in topology.
Topics include: cell
complexes, manifolds, homotopy groups, Euler characteristic, chain complexes, singular
homology, cohomology, cup products, Poincare Duality etc.
This course is part of a one
year sequence (527-528).
Many areas of modern mathematics require knowledge of topological
methods--for example homotopy theory, differential topology play an
important role across several subjects. This course aims to provide
topological expertise for students with diverse backgrounds and
interests.
Problems will be assigned and discussed in class.

**
Classes will start on Thursday, September 5.
**

### Homework #1 due on Tuesday, September 24

### Homework #2 due on Thursday, October 10

### Homework #3 due on Tuesday, October 29

### Homework #4, due on Thursday, November 14

### Homework #5, due on Tuesday, December 3