Algebraic Topology
Math 441/641
November 17, 2008
Exam 2
[Due on Monday, November 24]
1. Consider S 3 as the subset of C2 given by
S 3 = cfw_(z, w) C2
and let A S 3 be the set A = cfw_(z, w) S 3
|z |2 + |w|2 = 1
w = 0. Find 1 (S 3 A).
2. Let be a compact,
Algebraic Topology
Math 441/641
November 24, 2008
Topics for nal oral exam
As a nal exam for this course, you have the option of either taking a written takehome nal exam which will be due on Monday, December 15 (the day this class is ocially
scheduled by
Graded home work no. 3
[Due on Monday, November 3]
Instructions: In each of the problems below, compute the fundamental group of
X . You do not need to demonstrate that X is path-connected. Those enrolled in the
course as MATH-441 only need to complete pr
Graded home work no. 4
[Due on Monday, November 10]
Instructions: If you are enrolled in MATH-441 you only need to complete problems
13, if you are enrolled in MATH-641 you need to turn in all assigned problems.
1. If p : X S n is a 2-fold cover, what are
Graded home work no. 5
[Due on Monday, November 17]
Instructions: If you are enrolled in MATH-441 you only need to complete problems
13, if you are enrolled in MATH-641 you need to turn in all assigned problems.
1. If p : X X is a covering space and for s