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.
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