University of Pittsburgh Math 1700 : Topology : Spring 2014

Math 1700 : Topology : Homework

Homework 1 -- assigned on Jan 9 1. Section 13: Exercises 1 and 2
2. Section 13: Exercise 4
3. Section 13: Exercise 5
4. Section 13: Exercise 7
5. Section 13: Exercise 8

Homework 2 -- assigned on Jan 16 1. Section 16: Exercise 4
2. Section 16: Exercise 5
3. Section 16: Exercise 10
4. Section 17: Exercises 6 and 7
5. Section 17: Exercises 10, 11 and 12

Homework 3 -- assigned on Jan 23 1. Section 18: Exercise 3
2. Section 18: Exercises 11 and 12
3. Section 19: Exercises 1, 2 and 3
4. Section 19: Exercise 6
5. Section 19: Exercise 7

Homework 4 -- assigned on Jan 30 1. Section 20: Exercise 4
2. Section 20: Exercise 8
3. Section 20: Exercise 9
4. Section 21: Exercise 7
5. Section 21: Exercise 12

Homework 5 -- assigned on Feb 6 1. Section 23: Exercises 2 and 4
2. Section 23: Exercise 9
3. Section 23: Exercise 10
4. Section 24: Exercise 3
5. Section 24: Exercise 8

Homework 6 -- assigned on Feb 13 1. Section 24: Exercise 10
2. Section 26: Exercises 1 and 2
3. Section 26: Exercise 6
4. Section 26: Exercises 7 and 8
5. Section 26: Exercise 9

Homework 7 -- assigned on Feb 20 1. Section 27: Exercise 2
2. Section 27: Exercise 5
3. Section 28: Exercise 6
4. Section 28: Exercise 7
5. Section 29: Exercise 1
Bonus Problem: Show that the space [0,1]^[0,1] (with the product topology) is not sequentially compact.

Homework 8 -- assigned on Feb 27 1. Section 37: Exercise 1
2. Section 37: Exercise 4
3. Section 29: Exercise 2
4. Section 29: Exercise 5
5. Section 29: Exercise 6

Homework 9 -- assigned on March 6 1. Section 30: Exercises 4 and 9
2. Section 31: Exercises 1 and 2
3. Scetion 31: Exercise 7
4. Section 32: Exercises 1, 2 and 3
5. Section 32: Exercise 5

Homework 10 -- assigned on March 20 1. Section 33: Exercise 3
2. Section 33: Exercises 4 and 5
3. Scetion 35: Exercise 3
4. Section 35: Exercise 4
5. Section 35: Exercise 7

Homework 11 -- assigned on March 27 1. Section 36: Exercise 1
2. Section 36: Exercise 2
3. Scetion 34: Exercise 6
4. Section 34: Exercise 9
5. Section 31: Exercise 5

Homework 12 -- assigned on April 3 1. Section 38: Exercises 1 and 2
2. Section 38: Exercise 4
3. Section 43: Exercise 2
4. Scetion 43: Exercise 4
5. Section 43: Exercise 5

Homework 13 -- assigned on April 10 1. Section 45: Exercise 2
2. Section 45: Exercise 5
3. Section 44: Exercises 1 and 2
4. Section 44: Exercise 3
5. Section 48: Exercise 1

Homework 14 -- assigned on April 17 1. Section 48: Exercise 4
2. Section 48: Exercise 5
3. Section 48: Exercise 6
4. Section 48: Exercise 10
5. Section 49: Exercise 1