| Call number: | 97396 | |
| Room/Time: | MW 11:00am--12:15pm, 520 Math | |
| TA: | Clay Cordova | |
| Help room: | Tuesday and Thursday, 2:30--3:30 | |
| Instructor: | Mikhail Khovanov | |
| Office: | 517 Math | |
| Office Hours: | M 10-11am and W 3-4pm | |
| E-mail: | khovanov@math.columbia.edu | |
| Midterm: | Wednesday, October 18 | |
| Final exam: | Wednesday Dec. 18, 9:00am - 12:00pm in MAT 520 | |
| Webpage: | www.math.columbia.edu/~khovanov/topology | |
Syllabus:
Topological spaces, product and subspace topologies.
Closed sets, continuous functions.
Metric spaces and metric topology.
Connectedness, compactness.
Homotopies and fundamental group. Applications.
The Jordan theorem, winding number.
Seifert-van Kampen theorem.
Surfaces and their classification.