Math 547: Geometric Structures

Homework Assignments

Assignment	Due	Reading	Exercises	Problems
1	10/16/96	Chapter 1	1.13, 1.16, 1.18
2	10/23/96	Chapter 2		2-1, 2-2, 2-3¹, 2-4, 2-5, 2-7
3	10/30/96	Chapter 3	3.22	3-1, 3-2, 3-3, 3-4
4	11/6/96	Chapter 4		4-2, 4-4, 4-5, 4-7, 4-8, 4-9², 4-11
5	11/13/96	Chapter 5		5-1, 5-2, 5-3, 5-4³.
6	11/20/96	Chapter 6		6-1, 6-3, 6-4, 6-5.
7	11/27/96	Chapter 7 (through p. 98)		7-1, 7-2, 7-6.
8	12/4/96	Chapter 7 (rest)		7-7⁴, 7-8, 7-9, 7-10, 7-11⁵.
9	12/11/96	Chapter 8		8-1, 8-2, 8-3, 8-4.
10	12/18/96	Chapters 9 & 10		9-1⁶, 9-2, 10-1.

¹Correction to Problem 2-3: The last two sentences should read

(The first M should have a tilde.)

²Correction to Problem 4-9(c): The third equation in Problem 4-9(c) should be replaced by

³Warning: N may not have the induced metric in the metric space sense.

⁴Correction to problem 7-7: You have to assume M is connected.

⁵Correction to problem 7-11(c): You have to assume H is connected.

⁶Clarification of problem 9-1: Use the results of Chapter 9, not the comparison theorems of Chapter 10 (from which the result follows trivially).