Algebraic Topology

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.)


MIT Course Number


As Taught In

Fall 2006



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Course Description

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.

Related Content

Tyler Lawson. 18.905 Algebraic Topology, Fall 2006. (Massachusetts Institute of Technology: MIT OpenCourseWare), (Accessed). License: Creative Commons BY-NC-SA

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