Math 132
Problem Set 2
Spring, 2011
This problem set is due on Wed, Feb. 9. Please make your answers as complete and clear as possible.
You are allowed to discuss these problems with others in the class, but your writing should be your own.
1. (This is GP
Math 132
Problem Set 5
Spring, 2011
This problem set is due on Wed, March 2nd. Please make your answers as complete and clear as
possible. You are allowed to discuss these problems with others in the class, but your writing should be your
own.
1. (This is
Math 132
Problem Set 4
Spring, 2011
This problem set is due on Wed, Feb. 23rd. Please make your answers as complete and clear as
possible. You are allowed to discuss these problems with others in the class, but your writing should be your
own.
1. (GP, Ch.
Math 132
Problem Set 1
Spring, 2011
This problem set is due on Wednesday, Feb. 2nd, 2011. Please make your answers as complete and
clear as possible. You are allowed to discuss these problems with others in the class, but your writing should
be your own.
Math 132
Problem Set 3
Spring, 2011
This problem set is due on Wed, Feb. 16 Please make your answers as complete and clear as possible.
You are allowed to discuss these problems with others in the class, but your writing should be your own.
1. Let A = (ai
Math 132
Problem Set 6
Spring, 2011
This problem set is due on Friday, March 11th. Please make your answers as complete and clear as
possible. You are allowed to discuss these problems with others in the class, but your writing should be your
own.
1. Work
Notes 3
There will be a pset. Hopkins gave a hint for the pset, which was meant for the people who came to
class, so Ill only describe it very briey.
Picture an other immersed surface, with an embedded cycle e such that q(e) = 0. Right now, were using
the
Math 132
Problem Set 8
Spring, 2011
This problem set is due on Monday, May 2nd. Please make your answers as complete and clear as
possible. You are allowed to discuss these problems with others in the class, but your writing should be your
own.
1. This pr
Math 132
Problem Set 7
Spring, 2011
This problem set is due on Monday, April 25th Please make your answers as complete and clear as
possible. You are allowed to discuss these problems with others in the class, but your writing should be your
own.
1. (GP,
Notes 1
Last class, Hopkins misstated the classication of surfaces. What he said was that every surface was
either a connected sum of tori or a connected sum of tori and one projective plane. What is true is that
every surface is a connected sum of tori o
Notes 2
Recall that we are classifying the immersions of surfaces
R3 up to smooth homotopy. We found that
these corresponded to the quadratic renements q : V () Z4 such that q(x + y) q(x) q(y) = 2 x, y
and q(0) = 0.
Suppose that q1 and q2 are two quadrat