Instructor: Ko Honda
Office: MS 7919
Office Hours: Fri 11am-12 noon or by appointment
E-mail: honda at math dot ucla dot edu
URL: http://www.math.ucla.edu/~honda

TA: Harahm Park; office hours TBA; harahmpark at math dot ucla dot edu

Class Meetings:

• Lectures: MWF 10-10:50am in MS 5203
  
• Discussion: Tu 10-10:50am in MS 7608

Topics

1. Homotopy theory: fundamental group, covering spaces, Van Kampen's theorem.
2. Homology theory: singular homology, simplicial homology, homotopy invariance, relative homology, excision and Mayer-Vietoris, functoriality, relationship to the fundamental group, applications.
3. Cohomology theory: singular cohomology, cup products
   

Textbook

    Hatcher, Algebraic Topology, Cambridge University Press.  Also available for free at author's website.

Other references

    Greenberg and Harper, Algebraic Topology.

Prerequisites

• Some knowledge of algebra and point-set topology at the level of Math 121.
  

There will be weekly problem sets; see the class schedule.  Homework is due on Mondays, although there may be some exceptional weeks.  The problem sets count for a large percentage of your total grade (approximately 70%).  You may work with others or consult other textbooks, but the homework you turn in must be written by you, in your own words, and you must cite your sources used and your collaborators!

Final examination