Spring 2006 Topology

Lecture will be given in English!


Time: Tuesday, Thursday 1:00-2:30

Instructors: Suhyoung Choi Building E6-1 No. 4403
schoi at math dot kaist dot ac dot kr Phone: 2732

Assistant: ±èÁöÇö jeehyun4 at kaist.ac.kr Building E76-1 No. 4410, Phone 2759
                È²ÅÃ±Ô hwnag5 at hanmail.net Building E6-1 No. 4401
  (There was a change of assistants!)

Excercise session: Please come to the first meeting on Friday March 3 to divide up the class into two section and set up time.  (If you can't come, please contact the assistants.)
In two sections. After 1st class, we may change the exact time. However, we can set only two time intervals in a week. (I won't be there at the sessions always)
    The first real exercise session will begin after March 20th.
    In the exercise session:
     1. A class assistant will ask one of you to solve a problem from the Homework set.  
     2. The class assistant will grade your performance.
     3. The class assistant will give you the full solution to the problem.
     4. You will turn in the Homework sets and they will be graded.
                  (You can use the session work.)
In the section, you are expected to have solved problems in the sections that I had covered fully.

Final grades

Lecture room: 3435

Course book:  Topology, 2nd Edition by James Munkres

Grading: Midterm(100pts) Final (100pts) Report (50pts) Exercise Session (50pts) Attendance (50pts) Total 350pts

Course homepage: http://math.kaist.ac.kr/~schoi/Topology2006.htm

 

Chapter 1: Set theory and logic: Review

Chapter 2: Topological spaces and continuous functions

Chapter 3: Connectedness and Compactness

Midterm

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)

Final exam

 

 

Tuesday

 

Thursday

 

 

3.2.

S. 12,13.

3.7.

S. 14,15,16.

3.9.

S. 17

3.14.

no classes

3.16.

no classes

3.21.

S. 18.

3.23.

S. 19

3.28.

S. 20, 21.

3.30.

S. 22.

4.4.

S. 23, 24.

4.5.

S. 25.26

4.11.

S. 26.

4.13.

S. 27,28

4.18.

S. 29.

4.20.

Midterm Exam

4.25.

Midterm Exam

4.27.

S. 30,31

5.2.

S. 32.

5.4.

S. 33.

5.9.

S. 34. 35.

5.11.

S. 37. 38.

5.16.

Chapter 6 (Summary)

5.18.

S. 43.

5.23.

no classes

5.25.

no classes

5.30.

S. 44. 45. (Assistant)

6.1.

S. 46.

6.6.

 holiday

6.8.

S. 47.

6.13.

S. 48

6.15.

Final Exam

6.20.

Final Exam

 

 

 

Homework

There will be three to four reports. Their due dates will be posted here.

You have to solve in the order in the book and write down the problems

you didn't solve. Otherwise points will be taken off.

The scores of the late homework will be taken off by a formula.

HW 1: P.83. 2,4,8; P.92. 3,4,8,9: P.100. 1,3,5: P.101. 6,7,13,14; P. 111. 1,2; P. 112. 9; P. 118. 4,6,7. (DUE April 4)

HW 2: P.126. 1: P.127. 4,6,8; P.133. 3; P.134. 7; P.144. 2; P. 145. 3; P.152. 2,5,9; P.157.1; P.158.3,5,8. (DUE April 13)

HW 3: P.162. 1,2,6; P.170.1; P.171.2,4,5,8,10; P.177.2; P.178.5,6; P.181.1,3; P.186.1,4,6;
(DUE April 25)

HW 4: P. 194. 1,2,4,6; P.199. 2,5,7; P.205. 3,4,7; P.212. 3; P.213. 4,5,7; P.218.3,4; P.223. 3,4; P.235. 1,3; P.241. 2,4; (DUE May 25)

HW 5: P.248. 4; P.260. 3,8; P.270. 1,4,5; P.271.8; P.275.3; P.280.1,2,3; P.288.1,3,6; P.289.7,8; P.292. 1; P.293. 3; P.299.3,4,5; (DUE JUNE 15)