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 Lecture policy

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
 Exercises

3/12

 17

3/14

 17,18

3/16

 18
 Exercises

3/19

 19

3/21

 20

3/23

 21
 Exercises

3/26

 22

3/28

 22

3/30

 23  
 Exercises

4/2

 24

4/4

 25

4/6

 26  Exercises

4/9

 26

4/11

 27

4/13

 27
 Exercises

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
 Exercises 

5/7

 32

5/9

 33

5/11

 34, 37
 Exercises

5/14

 38

5/16

 43

5/18

 43
 Exercises

5/21

 44,45

5/23

 45

5/25

 46
 Exercises

5/28

 46

5/30

 47

6/1

 47
 Exercises

6/4

 48

6/6

Holiday

6/8

Q&A session

6/11

Final

6/13

Final

6/15

Final

 

 

 

 

 

 

 

 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