1. Listed below are suggestions of some specific exercises you should do.

2. More or less (but subject to possible modification), the ones with
asterisks are the ones I will present in the exercise sessions.

3.  Of course, if you have time, you should do as many of the exercises in the book (even those not listed below) as you have time for.

4.  This list will be continually updated as the course proceeds.



CHAPTER 1. 


Section 11              8*




CHAPTER 2.


Section 13              3*  4*  6*  7

Section 16              2  3  6

Section 17              6*   7    8*   11   12   13*  19   20*

Section 18              1   2*  3  5   6*  7   12*   13*

Section 19              5   6   7*

Section 20              4 b*  5*  6  8

Section 21              1   4  6  7



CHAPTER 3.


Section 23              1   2   5*   7   8*  10

Section 24              1*  2*  3   8  10

Section 25              2

Section 26              1   4*   5   6   10*

Section 27              2   3*   4

Section 28              1*  2*   7



CHAPTER 4.


Section 30              1   3*  4  13   16(a)*

Section 31              1   2
 
Section 32              5*

Nothing in 33

Section 34              3*

Section 35              1*



CHAPTER 5.


Section 37              1  (Prove part c assuming Hausdorff....
is it true assuming only T1?)



CHAPTER 7.


Section 43              1   2   4*   5*   6

Section 44              1   2



CHAPTER 8.


Section 48              1   2*  7*   9



RETURN TO CHAPTER 2

Section 22              2    4*     6* (probably just present part (a))



CHAPTER 9.


Section 51              1   3 (a,b)*

Section 52              1   3*  5
 
Section 53              2   3*  4

Section 54              1   2   4*  5  6*

Section 55              1   2*  4

Section 57              1   2*  4

Section 58              1   2*  (do b and e at your own risk and I will present some but not all),   10*

Section 60              1   2*  3*  4

For the 4 lecture notes on the homepage leading to a description of the fund. group of the
Klein bottle, you should try to do all of the exercises in these notes.