In this paper, we construct a class of special homogeneous Moran set in Rd(d≥ 1 ) , called {mkd}-quasi homogeneous Cantor set and obtain its Hausdorff dimension. By adjusting the value of {mkd}k≥1, we constructively prove the intermediate value theorem for the homogeneous Moran set in Rd. Moreover, we obtain a sufficient condition for the Hausdorff dimensions of homogeneous Moran sets in Rd to assume the minimum value, which expands earlier works. © 2018, Spri...
