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Math 1700 : Topology : Homework **

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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

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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

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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

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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

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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

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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

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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.

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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

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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

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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

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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

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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

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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

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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