Spring 2007 Topology
Lecture will be given in English! at least 90% of the time.
Time: MWF 3:00-4:00
ROOM: 3435
Excercize sessions: Friday 4:00-5:00, ROOM 3435 (We will continue from the
Friday class.
The first session is on Friday March 16.) %%% Those who cannot attend the
sessions should register
with TAs by submitting the student number and the reason.
Instructors: Suhyoung Choi Building E6-1 No. 4403
schoi at math dot kaist dot ac dot kr Phone: 2732
Assistant: Gye-Seon Lee Building E6-1 No. 4423
smileabacus at kaist dot ac dot kr Phone: 2772
You are expected to have prepared for the lecture by
reading ahead and solving
some of the problems.
You will be asked to give answers to the class problems the
lecturers will give. The result
will be graded.
30 minutes of the Friday lectures will be normally be an
Exercise session, where one solves
homework problems on the blackboard.
If you have questions about lectures, please ask your classmates and the lecture assistants.
Important notice: Those people who did not take the midterm
exam will be given F. Please
report to me on May 14th 1:00 to explain. (20030355)
Those people who have very low grades in the exam have to
report to me on May 28th 1:00 to
have discussions with me.
(20020007,20030182,20050422,20050519,20050609,20050424,20020102)
Course book: Topology, 2nd Edition by James Munkres Prentice Hall
References: Topology, James Dugundji WCB
Basic
Topology, M.A. Armstrong Springer Verlag
Midterm: April 18th 15:00-17:00
Final: June 13th 15:00-17:00
Grades: Midterm(150pts) Final(150pts) Homework(100pts)
Attendance(50pts)
Individual questions (10pts) Exercise meeting(40pts) Total 500pts
The teaching homepage: http://math.kaist.ac.kr/~schoi/teaching.html
Course homepage: http://math.kaist.ac.kr/~schoi/Topology2007I.htm
Chapter 1: Set theory and logic: Review
Chapter 2: Topological spaces and continuous functions
Chapter 3: Connectedness and Compactness
Chapter 4: Countability and Separations
Chapter 5: The Tychonoff theorem
Chapter 7: Complete metric spaces and function spaces
Chapter 8: Baire spaces and dimension theory (48 only)
Midterm: Sections 1-27
Final: Sections 28-48
Monday |
|
Wednesday |
|
Friday |
|
2/26 |
1-6 |
2/28 |
7-10 |
3/2 |
12 |
3/5 |
13.14. |
3/7 |
15. |
3/9 |
16 |
3/12 |
17 |
3/14 |
17,18 |
3/16 |
18 |
3/19 |
19 |
3/21 |
20 |
3/23 |
21 |
3/26 |
22 |
3/28 |
22 |
3/30 |
23 |
4/2 |
24 |
4/4 |
25 |
4/6 |
26 Exercises |
4/9 |
26 |
4/11 |
27 |
4/13 |
27 |
4/16 |
Midterm |
4/18 |
Midterm |
4/20 |
Midterm |
4/23 |
28 |
4/25 |
29 |
4/27 |
30 Exercises |
4/30 |
31 |
5/2 |
31 |
5/4 |
32 |
5/7 |
32 |
5/9 |
33 |
5/11 |
34, 37 |
5/14 |
38 |
5/16 |
43 |
5/18 |
43 |
5/21 |
44,45 |
5/23 |
45 |
5/25 |
46 |
5/28 |
46 |
5/30 |
47 |
6/1 |
47 |
6/4 |
48 |
6/6 |
Holiday |
6/8 |
Q&A session |
6/11 |
Final |
6/13 |
Final |
6/15 |
Final |
|
|
|
|
|
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Lecture note for mathematical logic odd pages and even pages
Lecture notes 1.(Sections.1-22)
Lecture notes 2. (Sections 22-27)
Lecture notes 3 (Sections 28-36)
Lecture notes 4 (Sections 37-48)
Homeworks: A set of homework problems will be given on each
Friday and they are due on
Thursday 5:00 pm the next week. The points of the late homework will be taken
off by 20% per day.
The homework is to be submitted to the 2nd floor homework box or to the TAs.
No homework for 2/26-3/2 week.
HW 1. (DUE March 15th) p.14: 2,3,5, p.20: 2, p.29:11,12, p.66: 1, p.67: 2, 3,6, p.83: 3, 4, p.92:3,4,8,9.
HW 2. (DUE March 22nd) p.100: 2,3, p. 101: 6, 9, 13, 14, p.102: 19, p.111: 1,3,4,8.
HW 3. (DUE March 29th) p.118: 1,4,6,9, p.126: 2, p.127: 4,6, p.133:3, p.134:5,7,9. p.135: 12.
HW 4. (DUE April 5th) p.144:2, p.145:3, p.152:2,3,10,
HW 5. (DUE April 17th Tuesday 5:00 pm) p.157:1,
p.158:5,7,8, p.162:1,6, p.163:8, p.170:1, p.171:3,4,6,7,
p.177:2, p.178:6
HW 6. (DUE May 3rd) p.181:3,6,7, p.186:1,4,7,8
HW 7. (DUE May 17th) p.194:2,4,5,14, p.199: 1,2,5,7, p.205: 1,2,3, p.212: 2,3, p.213:4,5,7
HW 8. (DUE May 24th) p.218:3,6,7, p.223:1,4, p.235:2, p.241:2,4, p242:6
HW 9. (DUE May 31st) p.270:2,3,4, p.271:8, p.280:1,2,4,5.
HW 10. (DUE June 12th) p288:1,6, p.289:9, p.292:1, p.298:1, p.299:2,3