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Math 530: Topology

Instructor: Prof. Michael Sullivan, room 385 Neckers, 453-6592,prof (.) michael (.) sullivan (at) gmail (.) com.

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

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

Office Hours: TBA

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.

Tests: There will be a midterm and a final. The final is scheduled for Friday Decemeber 15, 12:30 pm - 4:30 pm. It is a four hour exam.

Grades: Homework is 30%, midterm is 30%, final is 40%.

General SIU Info: Click here.


I will post homework assignments here. Scroll down for handouts.

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 Monday, Sept. 4.
  • §9: 6.
  • §10: 5.
  • §11: 5.
  • §13: 2, 7. Set 2. Due Wednesday, September 13.
  • §16: 1, 4, 8.
  • §17: 2, 3, 6, 11, 12, 13, 19.
  • §18: 2, 6, 7a, 10. Set 3. Due Monday, September 18.
  • §19: 2, 7.
  • §20: 4, 5, 8.
  • §21: 10. Set 4. Due Monday, September 25.
  • §22: 2, 3.
  • §23: 4, 8.
  • §24: 2. 10.

  • Optional reading

    Tutorial on Axiomatic Set Theory
    
    Axiomatic Set Theory
    
    Units Circles in R2
    
    Planar Continua
    
    Summary of Section 30
    
    Summary of Sections 31 & 32
    
    Urysohn's Lemma