Cantor Expansions And Fractal Dimensions

In this thesis,we consider a class of fractal sets generated by the Cantor series expansions.We prove that these sets have full dimensions. In chapter one,we introduce the history of fractal ge-ometry.In chapter two,we introduce dimensions.In chapter three,we give the definition of Moran set and its corresponding properties. In Chapter four,we introduce Cantor expansions,then prove that the sets E_δ have full dimensions.