Algebraic Topology

As taught in: Fall 2006

On the torus, the cycles intersect in one point.

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.)

Instructors:

Dr. Tyler Lawson

MIT Course Number:

18.905

Level:

Graduate

Course Features

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.