What is Alexander-Whitney duality?
It's not a common term, but I assume you are really referring to the Alexander-Whitney map.
If [tex]X[/tex], [tex]Y[/tex] are topological spaces, then the AW map is the natural transformation between:
[tex] (X, Y) \mapsto Sing (X \times Y) [/tex] and [tex] Sing (X) \otimes Sing (Y) [/tex]
Where [tex]Sing[/tex] is total singular chain complex for the specified top. space.
Since it's a http://en.wikipedia.org/wiki/Natural_transformation" [Broken], it could be labeled a duality.
At the risk of derailing the thread... how? Dualities are typically expressible as contravariant functors -- the closest "natural transformation" gets to the notion of duality is there is typically a natural transformation (usually isomorphism) from an object to the dual of its dual.
Separate names with a comma.