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.)
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.