A study of covering dimension for the class of finite lattices

The most important properties of covering dimension (dim)(dim) and lattice theory are well-known (see, for example, Charalambous (1974), Charalambous (1995), Engelking (1995) and Picado and Pultr (2012)). We characterize the covering dimension dim of a finite lattice and we investigate several properties of Dimension Theory for this dimension. Finally, we pose some questions.