Some dimensional results for homogeneous Moran sets

Let ?(¦n _k ¦k?1,¦c _k ¦k?1) be the collection of homogeneous Moran sets determined by ¦n _k ¦k?1 and ¦c _k ¦k?1, where ¦n _k ¦k?1 is a sequence of positive integers and ¦c _k ¦k?1 a sequence of positive numbers. Then the maximal and minimal values of Hausdorff dimensions for elements in ? are determined. The result is proved that for any values between the maximal and minimal values, there exists an element in ?(¦n _k ¦k?1,¦c _k¦k?1) such that its Hausdorff dimension is equal tos. The same results hold for packing dimension. In the meantime, some other properties of homogeneous Moran sets are discussed.