Courses:

Course Info

• Course Number / Code:
• 18.905 (Fall 2006) 
• Course Title:
• Algebraic Topology 
• Course Level:
• Graduate 
• Offered by :
• Massachusetts Institute of Technology (MIT)
  Massachusetts, United States  
• Department:
• Mathematics 
• Course Instructor(s):
• Dr. Tyler Lawson 
• Course Introduction:
•  
• 
  
  18.905 Algebraic Topology
  
  
  
  

  Fall 2006

  
  
  

  
  
  

  Course Highlights

  
  
  

  
  
  18.905 Algebraic Topology
  
  
  
  

  Fall 2006

  
  
  

  

  On the torus illustrated above, the cycles intersect in one point. (Image courtesy of Rowland, Todd. "Homology Intersection." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. Used with permission.)

  
  
  

  Course Description

  
  
  

  This course is a first course in algebraic topology. The emphasis is on homology and cohomology theory, including cup products, Kunneth formulas, intersection pairings, and the Lefschetz fixed point theorem.