Spring 2023 Algebraic Topology
(MAS531)
Time: T, Th 10:30-11:40
Room: E2-1227
Instructor: Suhyoung Choi E6-1 4403(office)
schoi at math dot kaist dot ac dot kr Phone: 2732
We will go over the basic notions and the fundamental tools of topology. The course aims to give you many standard facts to do research in topology.
This is a EDU-4.0 course. The lectures will be on the KLMS. The lecture notes will be on OneNote. We will distribute the links.
We will discussions on problems on Tuesday for the content of the week,
and the students will give presentations on Thursday. You need to attend both classes, but we can end the classes earlier.
Course book:
Algebraic Topology by Hatcher,
Cambridge: The page for the text book by Hatcher.
Download the revisions and additions.
Supplementary: Topology and Geometry by Bredon, Springer Verlag, download at library.kaist.ac.kr
Grading:
Midterm exam (100pts) Final exam (100pts) Report (Oral (50 pts.) + Written (50pts.) Attendance (50pts) Total 350pts
Exams will be offline Exams. Also, there will be presentations for reports done by groups. We will divide into groups of 2-3 students.
Course schedule:
Chapter I.13, I.14 of Bredon, Compact open topology of Hatcher
Section 0, Topology of cell complexes, Section 1.1 to Section 1.3 and 1.A of Hatcher
Midterm
Section 2.1 -2.3, 2.A-C of Hatcher
Final Exam
| Week |
Content you must prepare for before the week |
|
| Feb 28, March 2 |
Introduction to the course, |
no discussion and presentation, |
| March 7, 9 |
Appendix of Hatcher and Chapter 0 | You will be responsibe from this lecture. |
| March 14, 16 |
Section 1.1. |
|
| March 21, 23 |
Section 1.2. |
|
| March 28,30 |
Sections 1.2 | |
| April 4,6 |
Section 1.3 |
|
| April 11,13 |
Section 1.3, Section 1.A | |
| April 18, 20 |
Midterm Exam |
E2-1227, Th. 9:00-11:45 |
| April 25, 27 |
Section 2.1 |
|
| May 2, 4 | Section 2.1 |
|
| May 9, 11 |
Section 2.2 |
|
| May 16, 18 |
Section 2.2 |
|
| May 23,. 25 |
Section 2.3, Section 2.A |
|
| May 30, June 1 |
Section 2.B |
|
| June 8 |
Section 2.C. | June 6 holday |
| June 13, 15 |
Final Exam |
E2-1227, Th. 9:00-11:45 |