Math 547 -- Algebraic Topology I

• Office: SEO 501
  
• Office hours: Monday 4:30 pm or Wednesday 5:30 pm
  
• Lecture times and place: MWF 1:00-1:50PM, Room 309, Taft Hall
  
• Prerequisites: Topology (~ Math 445), Algebra (~ Math 330)
  
• References: These are some of the books that I will be drawing from for the lectures.
  
  • A. Hatcher, Algebraic Topology.
    
  • J. P. May, A concise course in Algebraic Topology.
    
  • A. Dold, Lectures on Algebraic Topology.
    
  • A. Fomenko, D. Fuchs, V. Gutenmacher, Homotopic Topology.
    
  • R. Brown, Topology and Groupoids
    
  • G. E. Bredon, Topology and Geometry.
    

Homework

• Homework I (due 09/05)

• Homework II (due 09/12)

• Homework III (due 09/19)

• Homework IV (due 09/26)

• Homework V (due 10/03)

• Homework VI (due 10/10)

• Homework VII (due 10/17)

• Homework VIII (due 10/27)

• Homework IX (due 11/03)

• Homework X (due 11/10)

• Homework XI (due 11/17)

• Homework XII (due 11/24)

• Homework XIII (due 12/1)

• Your solution must be rigorous. In the beginning of a study of algebraic topology, there is a tendency to give "proofs by pictures". This is encouraged and helpful during informal discussions but when you are writing down your solution, you must prove or cite every statement that you are making. Please do not write statements that you do not know how to prove.
• You should read the relevant parts of your favorite algebraic topology textbook(s).
• You are encouraged to work on the problem sets in groups but the final write-up should be yours.
• Please note that the purpose of the homework is for you to learn the material and the purpose of the grading is for me to give you feedback. You will receive a qualitative grade such as OK, (Very) Good or Excellent. In letter grades, these roughly correspond to B, A or 2A-B respectively.

Lecture notes

• Lecture notes