Spring 2019 Algebraic Topology (MAS531)

Time: T, Th 14:30-16:00

Lecture room: E6-1 2413

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.

Course book:  
Algebraic Topology by Hatcher, Cambridge: The page for the text book by Hatcher.
(Use the 2015 online version and not the2002 version.)
Supplementary: Topology and Geometry by Bredon, Springer Verlag

Grading:

Midterm exam (150pts) Final exam (150pts) Report (100pts) Attendance (50pts) Total 450pts

Exams will be Take-Home Exams. Also, there will be presentations for reports done by groups. We will divide into groups.

Course schedule:

Chapter I.13, I.14 of Bredon, Compact open topology of Hatcher

Section 0, Topology of cell complexes, 1.1 to Section 1.3 and 1.A and 1.B of Hatcher
Midterm

Section 2.1 -2.3, 2.A-C of Hatcher
Final Exam

	Tuesday		Thursday
Feb 26	Preliminary Bredon Section 13, 14	Feb 28	Preliminary Bredon Section 14, Appendix
March 5	Bredon, Appendix, Chapter 0	March 7	Chapter 0
March 12	Chapter 0	March 14	Section 1.1
March 19	Section 1.1	March 21	Section 1.2
March 26	Sections 1.2	March 28	Section1.3, Group division complete
April 2	Section 1.3	April 4	Sections 1.3
April 9	Section 1.3	April 11	Section 1.A
April 16	Midterm (reports)	April 18	Midterm (reports) Thu: 13:00~15:45
April 23	Section 2.1	April 26	Section 2.1
April 30	Section 2.1	May 2	Section 2.1
May 7	Sections 2.1, 2.2	May 9	Section 2.2
May 14	Section 2.2	May 16	Section 2.3
May 21	Section 2.3	May 23	Section 2.A
May 28	Section 2.B	May 30	Section 2.C
June 4	Reports	Jun 6	holiday
June 11	Final (reports)	June 13	Final (reports) Thu: 13:00~15:45

There will be three to four reports. You need to write in good English. Their due dates will be posted at klms.
You will present parts of these which I will assign and I will correct some errors beforehand.
Also, solve the problems in the order given and marked the unsolved problems. (See klms.kaist.ac.kr for this.)