Topology 2


We will cover following topics: Fundamental groups, Separation theorems in the plane, Seifert - van Kampen theorem, Classification of surfaces, Covering spaces, Groups and graphs.

Basic textbooks: J.R. Munkres, Topology, 2000. Chapters 9-14; W. Massey, A Basic Course in Algebraic Topology. Springer, 1990. Chapters 1-5.
Classes on Tuesday, Thursday, 13:00 - 14:15; Room 24-417.
Office hours: Wednesday, 15:00 - 16:00; 129-402 and by appointment.
Homework will be assigned on a (mostly) weekly basis, usually on Thursday .
There will be one midterm exam in class on October 30, and one final exam in class on November 27.
Grades: homework will be count for 30%, the midterm counts for 30%, and final also counts for 40%.
Teaching assistant: Choe Insong, office: 27-314C , phone: 1313, email: ischoe@math.snu.ac.kr
Background: "Introduction to Topology 1" is recommended.
Language: Lectures will be given in English.


Homework assignments

Assignment #1, due Tuesday, September 23: Munkres $53: #3, #4, $54 #4, #7.
Assignment #2, due Tuesday, October 7: Munkres $58 #2, #4, $59 #3, $60 #1, #2.
Assignment #3, due Tuesday, October 28: Munkres $61 #1, $63 #1, $67 #1, #2, #3.
Assignment #4, due Tuesday, November 18: Munkres $71 #2, #3 $73 #1.


Midterm exam: Problems.
Final exam: Problems.