C-spaces and matrix of infinite-dimensionality

We investigate classes ( m , n ) - C which are intermediate between the class S - wid of weakly infinite-dimensional spaces in the sense of Smirnov and the class S-∞-C of finite C-spaces in the sense of Borst. We find relationships between classes ( m 1 , n 1 ) - C and ( m 2 , n 2 ) - C . It allows us to construct a matrix of infinite-dimensionality.