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Prof. Sullivan's Math 530 Homepage

Textbook: Introduction to Topology, by James Munkres, 2nd Edition.

Syllabus: We cover sections 12-37, 41, 48, 51-55. If time permits we will do additional topics from 56-60, 67-78.

Homework will be collected weekly, but you may be asked to present some problems in class. There will be a midterm and a final. Grades: homework is 30%, midterm is 30%, final is 40%.

Homework is to be done individually, not in groups. You should discuss and compare you homeworks after you get them back. Do not search the internet looking for solutions. I will know if you do this. I will give you an F if you turn in work that is not yours.

I will post homework assignments here.
Set 0. Not to be turned in, but recommended for review.

  • §1: 1, 2, 9.

  • §2: 1, 2.

  • §3: 3, 6, 13.

  • §5: 5.

  • §7: 1, 5. (This section is very important.)

  • §9: 2, 4.

  • §10: 1. 

  • §11: 1, 4, 8.

Set 1. Due Friday, August 30. 

  • §9: 6.

  • §10: 5. 

  • §11: 5.

  • §13: 2, 7.

Set 2. Due Friday, Sept 6. 

  • §16: 1, 4, 8.

  • §17: 2, 3, 6, 11, 12, 13, 19.

  • §18: 2, 6, 7a, 10.

Set 3. Due Friday, Sept 13. 


  • §19: 2, 7.

  • §20: 4, 5, 8.

  • §21: 10.

Set 4. Due Friday, Sept 20. 


  • §22: 2, 3. 

  • §23: 4, 8.

  • §24: 2. 10.

Set 5. Due Friday, Sept 27. 


  • §25: 4, 9. (Bonus points for 9!)

  • §26: 4, 5, 6.

  • §27: 6abcde.

  • §28: 1.

Set 6. Due Friday, Oct 4. 
 

  • §29: 1, 10.

  • §30: 1, 11, 12.

  • §31: 1, 2.

  • §32: 3, 4.

Set 7. Due Friday, Oct 11. 


  • §33: 7.

  • §34: 1, 2.

  • §35: 1, 9abc. (Bonus points for 9! It is used it 531.)

Set 8. Due Friday, Oct 18. Monday Oct 28.


  • §36: None.

  • §37: None.

  • §41: 2a.

  • §48: 3, 6.

Set 9. Due Friday, Oct 25.  Friday Nov 1.


  • §51: 1, 3b.

  • §52: 2.

  • §53: 6a.

Set 10. Due Friday, Nov 1. Friday Nov 8.


  • §54: 8.

  • §55: 1.

  • §58: 2a-l. 

Set 11. Due Friday, Nov 8. Friday Nov 15.


  • §59: 1.

  • §60: 1, 5.

  • §67: 4ab.

Set 12. Due Friday, Nov 15. Friday Nov 1.


  • §68: 1

  • §69: none

  • §70: 1ab

Set 13. Due Friday, Nov 22. Friday Nov 1.


  • §71: 1abc, 3

  • §72: 2

  • §73: 1abcd, 2 (extra credit)

Set 14. Due Friday, Dec 6. Friday Nov 1.


  • §74: 1, 2 

  • §75: 2

  • §76: none

  • §77: nore
    • Optional reading
    Tutorial on Axiomatic Set Theory

Axiomatic Set Theory

Units Circles in R2

Summary of Section 30

Summary of Sections 31 & 32

Urysohn's Lemma