Čech Cohomology and Covering Dimension for the H∞ Maximal Ideal Space

It is proved that the n-Čech cohomology groups of the H∞ maximal ideal space (X(H∞)) are trivial for n ≥ 2, and that single elements of H∞ separate points from closed sets in X(H∞). These results are used to prove that the covering dimension of X(H∞) is 2.