## Math 611, Algebraic Topology

## Fall 2022

**Instructor:** Richard Hain
This will be a standard 1-semester course in algebraic topology. Topics to be
covered include:

- cutting and pasting
- the fundamental group
- covering spaces
- singular homology and its basic properties
- simplicial and cellular homology
- Euler characteristic

There will be lots of examples and applications to help students learn the
material.
**Text:** Hatcher, Allen: *Algebraic
topology*, Cambridge University Press, Cambridge, 2002.

**References:**
- Greenberg, Marvin J:
*Lectures on algebraic topology*, W. A.
Benjamin, Inc., New York-Amsterdam 1967. (Out of print.)
- Hatcher, Allen:
*Algebraic
topology*, Cambridge University Press, Cambridge, 2002.
- Munkres, James:
*Topology*, 2nd edition, Prentice Hall, 2000.
- Munkres, James:
*Elements of Algebraic Topology*, Perseus,
1984.
- Spanier, Edwin H:
*Algebraic topology*, Corrected reprint.
Springer-Verlag, New York-Berlin, 1981. (This is a standard reference.)

**Quote:** "A topologist is somebody who does not know the difference between a bagel and a coffee cup."
Colbert on donuts and spheres in 2006.

**Assignments:**

**Handouts:**

Return to: Richard Hain *
Duke Mathematics Department *
Duke University