As Rock indicates, dust is surprisingly complicated.
There are different kinds of dust: space dust; dust in a desert; dust inside a home; etc. House dust includes skin cells (from people and possibly pets), fibers (from bedding, clothes, etc.), and other particles created inside the house, as well as outside (soil, pollutants, etc.).
A short description of dust appears on WiseGeek. An entire book on dust (The Secret Life of Dust) is available at Amazon.